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On Semi-isogenous mixed surfacesOct 30 2015Jul 07 2017Let $C$ be a smooth projective curve and $G$ a finite subgroup of $\mathrm{Aut}(C)^2\rtimes \mathbb Z_2$ whose action is \textit{mixed}, i.e.~there are elements in $G$ exchanging the two isotrivial fibrations of $C\times C$. Let $G^0\triangleleft G$ be ... More

Mixed quasi-étale surfaces, new surfaces of general type with $p_g=0$ and their fundamental groupMay 06 2011Apr 23 2013We call a projective surface $X$ mixed quasi-\'etale quotient if there exists a curve $C$ of genus $g(C)\geq 2$ and a finite group $G$ that acts on $C\times C$ exchanging the factors such that $X=(C\times C)/G$ and the map $C\times C \rightarrow X$ has ... More

Mixed quasi-étale quotients with arbitrary singularitiesFeb 15 2013Nov 19 2013A mixed quasi-\'etale quotient is the quotient of the product of a curve of genus at least 2 with itself by the action of a group which exchanges the two factors and acts freely out of a finite subset. A mixed quasi-\'etale surface is the minimal resolution ... More

Bloch's conjecture for Generalized Burniat Type surfaces with $p_g=0$Aug 04 2014The aim of this article is to prove Bloch's conjecture, asserting that the group of rational equivalence classes of zero cycles of degree 0 is trivial for surfaces with geometric genus zero, for regular generalized Burniat type surfaces. The technique ... More

On Semi-isogenous mixed surfacesOct 30 2015Let $C$ be a smooth projective curve and $G$ a finite subgroup of $\mathrm{Aut}(C)^2\rtimes \mathbb Z_2$ whose action is $\textit{mixed}$, i.e. there are elements in $G$ exchanging the two isotrivial fibrations of $C\times C$. Let $G^0\triangleleft G$ ... More

On Threefolds Isogenous to a Product of CurvesDec 19 2014Mar 08 2017A threefold isogenous to a product of curves $X$ is a quotient of a product of three compact Riemann surfaces of genus at least two by the free action of a finite group. In this paper we study these threefolds under the assumption that the group acts ... More

On Threefolds Isogenous to a Product of CurvesDec 19 2014Jan 14 2015A threefold isogenous to a product of curves $X$ is a quotient of a product of three compact Riemann surfaces of genus at least $2$ by the free action of a finite group. In this paper we study these threefolds under the assumption that the group acts ... More

A family of threefolds of general type with canonical map of high degreeFeb 08 2019In this note we provide a two-dimensional family of smooth minimal threefolds of general type with canonical map of degree 96, improving the previous known bound of 72.

On the non-existence of orthogonal instanton bundles on P^(2N+1)Dec 11 2009In this paper we prove that there do not exist orthogonal instanton bundles on P^(2n+1) . In order to demonstrate this fact, we propose a new way of representing the invariant, introduced by L. Costa and G. Ottaviani, related to a rank 2n instanton bundle ... More

Generalized Burniat type surfaces and Bagnera-de Franchis varietiesSep 03 2014Jan 23 2015In this article we construct three new families of surfaces of general type with p_g = q = 0,K^2 = 6, and seven new families of surfaces of general type with p_g = q = 1, K^2 = 6, realizing 10 new fundamental groups. We also show that these families correspond ... More

The fundamental group and torsion group of Beauville surfacesFeb 10 2014Mar 03 2014We give a survey on the fundamental group of surfaces isogenous to a higher product. If the surfaces are regular, e.g. if they are Beauville surfaces, the first homology group is a finite group. We present a MAGMA script which calculates the first homology ... More

Feedback based Reputation on top of the Bitcoin BlockchainFeb 05 2015Feb 10 2015The ability to assess the reputation of a member in a web community is a need addressed in many different ways according to the many different stages in which the nature of communities has evolved over time. In the case of reputation of goods/services ... More

Geometry and dimensionality reduction of feature spaces in primary visual cortexSep 14 2015Some geometric properties of the wavelet analysis performed by visual neurons are discussed and compared with experimental data. In particular, several relationships between the cortical morphologies and the parametric dependencies of extracted features ... More

Sufficient and equivalent criteria for the Riemann HypothesisMar 10 2010Aug 30 2011The paper presents several new sufficient conditions, as well as new equivalent criteria for the classical Riemann Hypothesis. Noteworthy are also other statements and remarks about $\zeta$ to be found throughout the paper.

Monte Carlo radiation transfer simulations of photospheric emission in long-duration Gamma-Ray BurstsMay 11 2016Jul 19 2016We present MCRaT, a Monte Carlo Radiation Transfer code for self-consistently computing the light curves and spectra of the photospheric emission from relativistic, unmagnetized jets. We apply MCRaT to a relativistic hydrodynamic simulation of a long ... More

Polarization in the prompt emission of gamma-ray bursts and their afterglowsJul 31 2006Synchrotron is considered the dominant emission mechanism in the production of gamma-ray burst photons in the prompt as well as in the afterglow phase. Polarization is a characteristic feature of synchrotron and its study can reveal a wealth of information ... More

Precursor activity in bright long BATSE gamma-Ray BurstsNov 29 2004Dec 21 2004We study a sample of bright long BATSE GRB light curves in the 200 s before the detection of the GRB prompt emission. We find that in a sizable fraction of cases (20 %) there is evidence of emission above the background coming from the same direction ... More

Recursive Betti numbers for Cohen-Macaulay $d$-partite clutters arising from posetsNov 20 2014Oct 18 2015A natural extension of bipartite graphs are $d$-partite clutters, where $d \geq 2$ is an integer. For a poset $P$, Ene, Herzog and Mohammadi introduced the $d$-partite clutter $\mathcal{C}_{P,d}$ of multichains of length $d$ in $P$, showing that it is ... More

Hidden Virasoro Symmetry of the Sine Gordon TheoryDec 01 2000May 22 2001In the framework of the Sine-Gordon (SG) theory we will present the construction of a dynamical Virasoro symmetry which has nothing to do with the space-time Virasoro symmetry of 2D CFT. Although, it is non-local in the SG field theory, nevertheless it ... More

Tabulation of PVI Transcendents and Parametrization Formulas (August 17, 2011)Aug 17 2011Oct 01 2012The critical and asymptotic behaviors of solutions of the sixth Painlev\'e equation PVI, obtained in the framework of the monodromy preserving deformation method, and their explicit parametrization in terms of monodromy data, are tabulated.

On the Critical Behavior, the Connection problem and the Elliptic representation of a Painleve VI equation (Spring 2001)Oct 07 2010We find a class of solutions of the sixth Painleve' equation appearing in the theory of WDVV equations. This class covers almost all the monodromy data associated to the equation, except one point in the space of the data. We find the critical behavior ... More

Fractionally-addressed delay linesMay 17 2000Jun 12 2000While traditional implementations of variable-length digital delay lines are based on a circular buffer accessed by two pointers, we propose an implementation where a single fractional pointer is used both for read and write operations. On modern general-purpose ... More

A MILP model for single machine family scheduling with sequence-dependent batch setup and controllable processing timesJan 29 2015Mar 02 2015A mathematical programming model for a class of single machine family scheduling problem is described in this technical report, with the aim of comparing the performance in solving the scheduling problem by means of mathematical programming with the performance ... More

BOAT: a cross-platform software for data analysis and numerical computing with arbitrary-precisionNov 10 2015BOAT is a free cross-platform software for statistical data analysis and numerical computing. Thanks to its multiple-precision floating point engine, it allows arbitrary-precision calculations, whose digits of precision are only limited by the amount ... More

Nonautonomous Ornstein-Uhlenbeck operators in weighted spaces of continuous functionsJul 19 2016We consider the nonautonomous Ornstein-Uhlenbeck operator in some weighted spaces of continuous functions in $\R^N$. We prove sharp uniform estimates for the spatial derivatives of the associated evolution operator $\OU$, which we use to prove optimal ... More

Stochastic order and attractiveness for particle systems with multiple births, deaths and jumpsMar 18 2010Feb 20 2011An approach to analyse the properties of a particle system is to compare it with different processes to understand when one of them is larger than other ones. The main technique for that is coupling, which may not be easy to construct. We give a characterization ... More

Target annihilation by diffusing particles in inhomogeneous geometriesSep 03 2009The survival probability of immobile targets, annihilated by a population of random walkers on inhomogeneous discrete structures, such as disordered solids, glasses, fractals, polymer networks and gels, is analytically investigated. It is shown that, ... More

Local Picard Group of Binoids and Their AlgebrasNov 06 2016Nov 08 2016We begin by introducing schemes of binoids, invertible $\mathcal{O}_M$-sets and cohomology of sheaves of abelian groups defined on schemes of binoids. We define the so-called punctured combinatorial \v{C}ech-Picard complex, whose first cohomology computes ... More

Mixing for suspension flows over skew-translations and time-changes of quasi-abelian filiform nilflowsJun 28 2017Feb 12 2018We consider suspension flows over uniquely ergodic skew-translations on a $d$-dimensional torus $\mathbb{T}^d$, for $d \geq 2$. We prove that there exists a set $\mathscr{R}$ of smooth functions, which is dense in the space $\mathscr{C}(\mathbb{T}^d)$ ... More

On the uniform Rasmussen-Tamagawa conjecture in the CM caseNov 29 2015We prove a uniform version of a finiteness conjecture due to Rasmussen and Tamagawa in the case of CM abelian varieties. This extends recent results concerning CM elliptic curves to CM abelian varieties of arbitrary dimension.

Analyticity of non-symmetric Ornstein-Uhlenbeck semigroup with respect to a weighted Gaussian measureFeb 06 2019In this paper we show that the realization in $L^p(X,\nu_\infty)$ of the nonsymmetric Ornstein-Uhlenbeck operator $L$ is sectorial for any $p\in(1,+\infty)$ and we provide an explicit sector of analyticity. Here $(X,\mu_\infty,H_\infty)$ is an abstract ... More

On the Tree-Like Structure of Rings in Dense SolutionsSep 24 2016Oct 22 2016One of the most challenging problems in polymer physics is providing a theoretical description for the behaviour of rings in dense solutions and melts. Although it is nowadays well established that the overall size of a ring in these conditions scales ... More

Large theta_13 from a model with broken L_e-L_mu-L_tau symmetryOct 24 2011Mar 06 2012Recent data in the neutrino sector point towards a relatively large value of the reactor angle, incompatible with a vanishing theta_ 13 at about 3 sigma. In order to explain such a result, we propose a SUSY model based on the broken L_e-L_mu-L_tau symmetry, ... More

Non-LTE dust nucleation in sub-saturated vaporsOct 15 2007Nov 09 2007We use the kinetic theory of nucleation to explore the properties of dust nucleation in sub-saturated vapors. Due to radiation losses, the sub-critical clusters have a smaller temperature compared to their vapor. This alters the dynamical balance between ... More

Cosmological limits on axions and axion-like particlesOct 11 2012The axion is a pseudo-Nambu-Goldstone boson. It appears after the spontaneous breaking of the Peccei-Quinn symmetry, which was proposed to solve the strong-CP problem. Other pseudo-Nambu-Goldstone bosons, postulated in some extensions of the standard ... More

S-duality of boundary conditions and the Geometric Langlands programSep 28 2016Nov 08 2016Maximally supersymmetric gauge theory in four dimensions admits local boundary conditions which preserve half of the bulk supersymmetries. The S-duality of the bulk gauge theory can be extended in a natural fashion to act on such half-BPS boundary conditions. ... More

Pink-type results for general subgroup of $\operatorname{SL}_2(\mathbb{Z}_\ell)^n$Jan 16 2015Aug 09 2015We study open subgroups $G$ of $\operatorname{SL}_2(\mathbb{Z}_\ell)^n$ in terms of some associated Lie algebras without assuming that $G$ is a pro-$\ell$ group, thereby extending a theorem of Pink. The result has applications to the study of families ... More

The Direct Monodromy Problem of Painleve-IJul 09 2010Oct 08 2010The Painleve first equation can be represented as the equation of isomonodromic deformation of a Schrodinger equation with a cubic potential. We introduce a new algorithm for computing the direct monodromy problem for this Schrodinger equation. The algorithm ... More

Trap effects and continuum limit of the Hubbard model in the presence of an harmonic potentialNov 02 2016We investigate the ground-state (GS) density properties of a system of spin-$1/2$ particles described by the $d$-dimensional Hubbard model in the presence of an harmonic trap. In particular we consider this system at zero temperature in the so called ... More

Interpreting Quantum Discord in Quantum MetrologyFeb 16 2015Nov 03 2015Multipartite quantum systems show properties which do not admit a classical explanation. In particular, even nonentangled states can enjoy a kind of quantum correlations called quantum discord. I discuss some recent results on the role of quantum discord ... More

VIMOS IFU as a tool to observe the cores of high z clustersSep 28 2001Research on the core of medium and high z clusters of galaxies can derive great benefits from integral field spectroscopy, and a key role in this respect will be played by the Integral Field Unit (IFU) being developed by the VIRMOS Consortium as part ... More

On the analytic bijections of the rationals in $[0,1]$Jun 22 2016We carry out an arithmetical study of analytic functions $f: [0,1] \to [0,1]$ that by restriction induce a bijection $\mathbb{Q} \cap [0,1] \to \mathbb{Q} \cap [0,1]$. The existence of such functions shows that, unless $f(x)$ has some additional property ... More

A Semi-Linear Backward Parabolic cauchy Problem with Unbounded Coefficients of Hamilton-Jacobi-Bellman Type and Applications to optimal controlFeb 03 2014We obtain weighted uniform estimates for the gradient of the solutions to a class of linear parabolic Cauchy problems with unbounded coefficients. Such estimates are then used to prove existence and uniqueness of the mild solution to a semi-linear backward ... More

Mathematical vs Empirical MeasurementJun 03 2010Oct 25 2012This paper has been withdrawn by the author. In this short paper I will put in evidence a problem nested in Ozawa's effort to block von Neumann's chains and in his attributing the wave-collapse to a interaction between systems. This suggests distinguishing ... More

Automatically Creating Bilingual Lexicons for Machine Translation from Bilingual TextJul 20 1998A method is presented for automatically augmenting the bilingual lexicon of an existing Machine Translation system, by extracting bilingual entries from aligned bilingual text. The proposed method only relies on the resources already available in the ... More

A geometric approach to quantum control in projective Hilbert spacesAug 28 2015May 03 2016A quantum theory in a finite-dimensional Hilbert space can be geometrically formulated as a proper Hamiltonian theory as explained in [2, 3, 7, 8]. From this point of view a quantum system can be described in a classical-like framework where quantum dynamics ... More

A geometric Hamiltonian description of composite quantum systems and quantum entanglementAug 08 2014Finite-dimensional Quantum Mechanics can be geometrically formulated as a proper classical-like Hamiltonian theory in a projective Hilbert space. The description of composite quantum systems within the geometric Hamiltonian framework is discussed in this ... More

Holderian weak invariance principle for stationary mixing sequencesSep 29 2014Aug 08 2015We provide some sufficient mixing conditions on a strictly stationary sequence in order to guarantee the weak invariance principle in H\"older spaces. Strong mixing and $\rho$-mixing conditions are investigated as well as $\tau$-dependent sequences. The ... More

A dispersive estimate for the linear wave equation with an electromagnetic potentialJan 02 2006We consider radial solutions to the Cauchy problem for the linear wave equation with a small short-range electromagnetic potential (the "square version" of the massless Dirac equation with a potential) and zero initial data. We prove two a priori estimates ... More

Parabolic perturbations of unipotent flows on compact quotients of $\text{SL}(3,\mathbb{R})$Nov 13 2017Dec 02 2018We consider a family of smooth perturbations of unipotent flows on compact quotients of $\text{SL}(3,\mathbb{R})$ which are not time-changes. More precisely, given a unipotent vector field, we perturb it by adding a non-constant component in a commuting ... More

On the $L$-polynomials of curves over finite fieldsJul 19 2018Fix a finite field $\mathbb{F}_q$ of odd characteristic and an integer $g \geq 1$. We prove that the $\mathbb{Q}$-vector space spanned by the $L$-polynomials of curves of genus $g$ over $\mathbb{F}_q$ has dimension $g+1$.

Zeros of the Hurwitz zeta function in the interval (0,1)Mar 10 2010Feb 03 2011We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\zeta(s,w)$ has no zeros and is actually negative. As a corollary we derive that it is nonzero for $w\geq 1$ and $s\in(0,1)$ and, as a particular instance, the known ... More

Reducing democratic type II supergravity on SU(3) x SU(3) structuresApr 03 2008Jun 10 2008Type II supergravity on backgrounds admitting SU(3) x SU(3) structure and general fluxes is considered. Using the generalized geometry formalism, we study dimensional reductions leading to N=2 gauged supergravity in four dimensions, possibly with tensor ... More

Higgs Physics at the Large Hadron ColliderMay 15 2001May 16 2001A major goal of the future Large Hadron Collider will be the Higgs boson search. In this paper the discovery In this paper the discovery potential is described as a function of the Higgs mass showing that a Standard Model Higgs boson can be discovered ... More

GRB Progenitors and EnvironmentMay 03 2005The study and knowledge of the environment of Gamma-Ray Bursts is of great interest from many points of view. For high redshift (z>0.5) events, the structure of the ambient medium is one of the best indicators of the nature and properties of the progenitor. ... More

Linear polarization on Gamma-Ray Bursts: from the prompt to the late afterglowDec 12 2003The past year has witnessed a large increase in our knowledge of the polarization properties of Gamma-Ray Burst (GRB) radiation. In the prompt phase, the measurement (albeit highly debated) of a large degree of linear polarization in GRB 021206 has stimulated ... More

X-ray lines, progenitor and beaming of Gamma-Ray BurstsNov 08 2002X-ray emission features have been detected in at least five GRB afterglows. Their detection and properties are of great importance in our understanding of the nature of the GRB progenitor. Moreover, they provide us with an un-collimated source of photons, ... More

Gamma-Ray Bursts environment and progenitorsJan 16 2003The properties of the ambient medium in which GRBs go off are an important piece of the puzzle, not only as an issue in itself, but because of their link with the nature of the progenitor. In this review, I describe and critically comment the various ... More

S3 as a flavour symmetry for quarks and leptons after the Daya Bay result on θ13Mar 14 2012We present a model based on the flavour group S3 X Z3 X Z6 to explain the main features of fermion masses and mixing. In particular, in the neutrino sector the breaking of the S3 symmetry is responsible for a naturally small r=\Delta m^2_sol/\Delta m^2_atm ... More

Impact of nuclear effects in the measurement of neutrino oscillation parametersOct 05 2011In recent years the experimental study of neutrino oscillations has much contributed to our knowledge of particle physics by establishing non vanishing neutrino masses and by measuring or constraining the corresponding mixing angles. Within the domain ... More

A See-Saw $S_4$ model for fermion masses and mixingsNov 18 2009Apr 13 2010We present a supersymmetric see-saw $S_4$ model giving rise to the most general neutrino mass matrix compatible with Tri-Bimaximal mixing. We adopt the $S_4\times Z_5$ flavour symmetry, broken by suitable vacuum expectation values of a small number of ... More

Aspects of Symmetry in Sine-Gordon TheoryNov 30 2001As a prototype of powerful non-abelian symmetry in an Integrable System, I will show the appearance of a Witt algebra of vector fields in the SG theory. This symmetry does not share anything with the well-known Virasoro algebra of the conformal $c=1$ ... More

Geometrical Loci and CFTs via the Virasoro Symmetry of the mKdV-SG hierarchy: an excursusAug 10 2004We will describe the appearance of specific algebraic KdV potentials as a consequence of a requirement on a integro-differential expression. This expression belongs to a class generated by means of Virasoro vector fields acting on the KdV field. The ``almost'' ... More

To found or not to found: that is the questionSep 02 2014Sep 10 2014Aim of this paper is to confute two views, the first about Schr\"oder's presumptive foundationalism, according to he founded mathematics on the calculus of relatives; the second one mantaining that Schr\"oder only in his last years (from 1890 onwards) ... More

On the Concept of Possibility in Quantum MechanicsJun 06 2010Oct 25 2012This paper has been withdrawn by the author. In this short paper I introduce a concept of possibility in order to vindicate Everett's Theory of many worlds. The main idea is that there is only one world: the real. After the wave-collapse, we have again ... More

Observable measure of quantum coherence in finite dimensional systemsMar 11 2014Oct 22 2014Quantum coherence is the key resource for quantum technology, with applications in quantum optics, information processing, metrology and cryptography. Yet, there is no universally efficient method for quantifying coherence either in theoretical or in ... More

Solving PVI by Isomonodromy DeformationsJun 14 2011Jul 27 2011The critical and asymptotic behaviors of solutions of the sixth Painlev\'e equation, an their parametrization in terms of monodromy data, are synthetically reviewed. The explicit formulas are given. This paper has been withdrawn by the author himself, ... More

Quantitative mixing for locally Hamiltonian flows with saddle loops on compact surfacesOct 27 2016Given a compact surface $\mathcal{M}$ with a smooth area form $\omega$, we consider an open and dense subset of the set of smooth closed 1-forms on $\mathcal{M}$ with isolated zeros which admit at least one saddle loop homologous to zero and we prove ... More

Simulation of dimensionality effects in thermal transportDec 22 2015The discovery of nanostructures and the development of growth and fabrication techniques of one- and two-dimensional materials provide the possibility to probe experimentally heat transport in low-dimensional systems. Nevertheless measuring the thermal ... More

Galois representations attached to abelian varieties of CM typeJun 15 2015Aug 12 2015Let $K$ be a number field, $A/K$ be an absolutely simple abelian variety of CM type, and $\ell$ be a prime number. We give explicit bounds on the degree over $K$ of the division fields $K(A[\ell^n])$, and when $A$ is an elliptic curve we also describe ... More

Trace heat kernel asymptotics in 3D contact sub-Riemannian geometryMay 06 2011Nov 04 2011In this paper we study the small time asymptotics for the heat kernel on a sub-Riemannian manifold, using a perturbative approach. We then explicitly compute, in the case of a 3D contact structure, the first two coefficients of the small time asymptotics ... More

S-duality of boundary conditions and the Geometric Langlands programSep 28 2016Maximally supersymmetric gauge theory in four dimensions admits local boundary conditions which preserve half of the bulk supersymmetries. The S-duality of the bulk gauge theory can be extended in a natural fashion to act on such half-BPS boundary conditions. ... More

Between Being and Becoming: a meta-theoretical approach to irreversibilitySep 05 2013The relationship between reversible-dynamical and irreversible-thermodynamic descriptions is analyzed from a meta-theoretical point of view. A network of inter-theoretical relations is drawn by means of asymptotic relations and complementarity. It is ... More

Generalized Riemann hypotheses: sufficient and equivalent criteriaMay 10 2010Oct 22 2010This paper presents new sufficient and equivalent conditions for the generalized version of the Riemann Hypothesis. The paper derives also statements and remarks concerning zero-free regions, modified Hadamard-product formulas and the behaviour of $|\frac{L(\bar{\chi},s)}{L(\chi,1-s)}|$. ... More

X-ray Polarization of Gamma-Ray BurstsJun 23 2009The degree and the temporal evolution of linear polarization in the prompt and afterglow emission of gamma-ray bursts is a very robust diagnostic of some key features of gamma-ray bursts jets and their micro and macro physics. In this contribution, I ... More

Bimaximal mixing and large theta13 in a SUSY SU(5) model based on S4Jul 01 2011Oct 05 2011The recent analyses of the world neutrino data, including the T2K and MINOS results, point toward a statistically significant deviation of theta13 from zero. In this paper we present a SUSY SU(5) model based on the discrete S4 group which predicts a large ... More

Recent developments in Neutrino PhysicsJan 26 2016We discuss the recent progress in neutrino physics in the following fields: (i) interpretation of the short and long neutrino oscillation data in terms of neutrino flavor transitions; (ii) models for neutrino masses and mixings.

Open heavy-flavour and quarkonium production in Pb-Pb and p-Pb collisions measured by the ALICE detector at the LHCJun 13 2016Open heavy-flavour and quarkonia measurements are important tools to study the hot and dense partonic medium formed in ultra-relativistic heavy-ion collisions. The modification of their production in those collisions, with respect to the pp and p-Pb ones, ... More

Bounds for Serre's open image theorem for elliptic curves over number fieldsMar 15 2014Oct 08 2015For $E/K$ an elliptic curve without complex multiplication we bound the index of the image of $\operatorname{Gal}(\bar{K}/K)$ in $\operatorname{GL}_2(\hat{\mathbb{Z}})$, the representation being given by the action on the Tate modules of $E$ at the various ... More

Betti splitting via componentwise linear idealsOct 23 2014Jun 27 2015A monomial ideal $I$ admits a Betti splitting $I=J+K$ if the Betti numbers of $I$ can be determined in terms of the Betti numbers of the ideals $J,K$ and $J \cap K$. Given a monomial ideal $I$, we prove that $I=J+K$ is a Betti splitting of $I$, provided ... More

Twisted compactifications of 3d N = 4 theories and conformal blocksNov 04 2016Three-dimensional N = 4 supersymmetric quantum field theories admit two topological twists, the Rozansky-Witten twist and its mirror. Either twist can be used to define a supersymmetric compactification on a Riemann surface and a corre- sponding space ... More

Fundamental lemmas for the determination of optimal control strategies for a class of single machine family scheduling problemsFeb 02 2015Four lemmas, which constitute the theoretical foundation necessary to determine optimal control strategies for a class of single machine family scheduling problems, are presented in this technical report. The scheduling problem is characterized by the ... More

Schröder e la Teoria dei GruppiMay 21 2013This short paper focuses on Schr\"oder's contribute towards a structural view of group theory.

Some Notes on the Difference between Interaction and MeasurementJun 06 2010Oct 25 2012This paper has been withdrawn by the author. In this paper I present some reasons to adopt an holistic point of wiev, eliminating a boundary subject/object in the measurement. I review shortly Everett's and Cramer's positions, casting light on their flaws, ... More

Review of Wüst's 'Mathematik für Physiker und Mathematiker'Jun 26 2010Oct 25 2012This paper has been withdrawn by the author. In this article I review W\"ust's recent handbook on mathematical physics from a philosophical standpoint. It emerges a structural approach to mathematics which evidences the utility of logic in the expression ... More

Shape differentiability of the eigenvalues of elliptic systemsNov 12 2014We consider second order elliptic systems of partial differential equations subject to Dirichlet and Neumann boundary conditions. We prove analyticity of the elementary symmetric functions of the eigenvalues, and compute Hadamard-type formulas for such ... More

New methods for the computation of the linear response within the density functional theory in spin polarized system (Metodi innovativi per il calcolo della risposta lineare in density functional theory per sistemi spin polarizzati)Aug 15 2012In the present thesis we study absorption spectra of spin polarized isolated systems. Thus we introduce the density functional theory (DFT) formalism and its time dependent extension (TDDFT) together with the approximation used. In particula the Casida ... More

Analyticity and criticality results for the eigenvalues of the biharmonic operatorMar 09 2016We consider the eigenvalues of the biharmonic operator subject to several homogeneous boundary conditions (Dirichlet, Neumann, Navier, Steklov). We show that simple eigenvalues and elementary symmetric functions of multiple eigenvalues are real analytic, ... More

On the Tree-Like Structure of Rings in Dense SolutionsSep 24 2016One of the most challenging problems in polymer physics is providing a theoretical description for the behaviour of rings in dense solutions and melts. Although it is nowadays well established that the overall size of a ring in these conditions scales ... More

HyLTL: a temporal logic for model checking hybrid systemsAug 24 2013The model-checking problem for hybrid systems is a well known challenge in the scientific community. Most of the existing approaches and tools are limited to safety properties only, or operates by transforming the hybrid system to be verified into a discrete ... More

Operators and vacua of N=1 field theoriesDec 17 2009We review the idea of Hilbert Series as a tool to study the moduli space and the BPS operators of four dimensional N=1 supersymmetric field theories. We concentrate on the particular case of N=1 superconformal field theories living on N D3 branes at toric ... More

Master Space and Hilbert Series for N=1 Field TheoriesFeb 12 2009Master Space and Hilbert Series are general tools to study any N=1 supersymmetric field theory. We concentrate on the particular case of N=1 super conformal field theories living on D3 branes at toric Calabi Yau singularities. We start reviewing the topic ... More

Checking Flavour Models at Neutrino FacilitiesAug 21 2013Nov 29 2013In the recent years, the industry of model building has been the subject of the intense activity, especially after the measurement of a relatively large values of the reactor angle. Special attention has been devoted to the use of non-abelian discrete ... More

Sterile neutrinos at future long baseline experimentsDec 18 2008In this talk we review the current status of sterile neutrino searches and discuss the potential of future long baseline experiments to study their properties.

GRB progenitors and their environmentsNov 07 2006The detection of supernova features in the late spectra of several gamma-ray burst afterglows has shown that at least a fraction of long-duration gamma-ray bursts are associated to the final evolutionary stages of massive stars. Such direct observations ... More

Gamma-Ray Burst Progenitors Confront ObservationsFeb 02 2004The discovery of a supernova emerging at late times in the afterglow of GRB 030329 has apparently settled the issue on the nature of the progenitor of gamma-ray bursts. We now know that at least a fraction of cosmological GRBs are associated with the ... More

Thermal components in the early X-ray afterglow of GRBsOct 14 2002Dec 12 2002The possible presence of thermal components in the early X-ray afterglows of gamma-ray bursts is investigated. We discuss both the presence of a thermal continuum and, in particular, of collisional X-ray emission lines. We compute the predicted luminosity ... More

The role of photon scattering in shaping the lightcurves and spectra of gamma-ray burstsJun 18 2002Sep 01 2002We analyze the power spectra of the lightcurves of long gamma-ray bursts, dividing the sample in bins of luminosity, using the recently discovered variability-luminosity correlation. We find that the value of the variability parameter strongly correlates ... More

An explicit open image theorem for products of elliptic curvesJan 19 2015Nov 29 2015Let $K$ be a number field and $E_1, \ldots, E_n$ be elliptic curves over $K$, pairwise non-isogenous over $\overline{K}$ and without complex multiplication over $\overline{K}$. We study the image of the adelic representation of the absolute Galois group ... More

Classical solutions to quasilinear parabolic problems with dynamic boundary conditionsApr 23 2015We study linear nonautonomous parabolic systems with dynamic boundary conditions. Next, we apply these results to show a theorem of local existence and uniqueness of a classical solution to a second order quasilinear system with nonlinear dynamic boundary ... More