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Note on Dolbeault cohomology and Hodge structures up to bimeromorphismsDec 24 2017Mar 25 2019We construct simply-connected compact complex manifolds satisfying the $\partial\overline\partial$-Lemma. This is done by investigating the stability of the property of satisfying the $\partial\overline\partial$-Lemma under modifications of compact complex ... More

Quantitative and qualitative cohomological properties for non-Kähler manifoldsJul 25 2015Mar 18 2016We introduce a "qualitative property" for Bott-Chern cohomology of complex non-K\"ahler manifolds, which is motivated in view of the study of the algebraic structure of Bott-Chern cohomology. We prove that such a property characterizes the validity of ... More

A first study of the semi-leptonic decay of the $Λ_b$ baryonJul 29 1996We present the preliminary results of the first Lattice study of the baryonic Isgur and Wise function obtained from the matrix element of the weak current between $\Lambda$-baryon external states. Its dependence on the heavy and light quark masses is ... More

Heavy Baryon SpectroscopyNov 30 1994We present the preliminary results of an exploratory study of heavy baryon spectroscopy, using the $O(a)$-improved fermionic action. Estimates of masses and splittings at the charm and beauty physical limit are reported.

Cohomologies of locally conformally symplectic manifolds and solvmanifoldsMar 16 2017Mar 22 2017We study the Morse-Novikov cohomology and its almost-symplectic counterpart on manifolds admitting locally conformally symplectic structures. More precisely, we introduce lcs cohomologies and we study elliptic Hodge theory, dualities, Hard Lefschetz Condition. ... More

Pathwise construction of affine processesDec 25 2014Based on the theory of multivariate time changes for Markov processes, we show how to identify affine processes as solutions of certain time change equations. The result is a strong version of a theorem presented by J. Kallsen (2006) which provides a ... More

Low degree morphisms of E(5,10)-generalized verma modulesMar 27 2019In this paper we face the study of the representations of the exceptional Lie superalgebra E(5,10). We recall the construction of generalized Verma modules and give a combinatorial description of the restriction to sl_5 of the Verma module induced by ... More

Propagation of Chaos for a Balls into Bins ModelSep 21 2018Dec 18 2018Consider a finite number of balls initially placed in $L$ bins. At each time step a ball is taken from each non-empty bin. Then all the balls are uniformly reassigned into bins. This finite Markov chain is called Repeated Balls-into-Bins process and is ... More

Ensemble dependence of fluctuations and the canonical/micro-canonical equivalence of ensemblesJan 26 2017We study the equivalence of microcanonical and canonical ensembles in continuous systems, in the sense of the convergence of the corresponding Gibbs measures. This is obtained by proving a local central limit theorem and a local large deviations principle. ... More

Rotating black holes in the FI-gauged $N=2$, $D=4$ $\overline{\mathbb{C}\text{P}}^n$ modelFeb 08 2019Mar 25 2019We construct supersymmetric black holes with rotation or NUT charge for the $\overline{\mathbb{C}\text{P}}^n$- and the $\text{t}^3$ model of $N=2$, $D=4$ $\text{U}(1)$ FI-gauged supergravity. The solutions preserve 2 real supercharges, which are doubled ... More

Note on Dolbeault cohomology and Hodge structures up to bimeromorphismsDec 24 2017We investigate the stability of the property of satisfying the $\partial\overline\partial$-Lemma under modifications of compact complex manifolds. More precisely, we study the Dolbeault cohomology of the blowing-up $\tilde X_Z$ of a compact complex manifold ... More

Rotating black holes in the FI-gauged $N=2$, $D=4$ $\overline{\mathbb{C}\text{P}}^n$ modelFeb 08 2019We construct supersymmetric black holes with rotation or NUT charge for the $\overline{\mathbb{C}\text{P}}^n$- and the $\text{t}^3$ model of $N=2$, $D=4$ $\text{U}(1)$ FI-gauged supergravity. The solutions preserve 2 real supercharges, which are doubled ... More

Classification of linearly compact simple N=6 3-algebrasOct 18 2010Nov 07 2010$N\leq 8$ 3-algebras have recently appeared in N-supersymmetric 3-dimensional Chern-Simons gauge theories. In our previous paper we classified linearly compact simple N = 8 n-algebras for any $n \geq 3$. In the present paper we classify linearly compact ... More

Discontinous change from thermally- to geometrically- dominated effective interactions in colloidal solutionsAug 23 2016We report numerical results on the effective potential arising between two colloids immersed in a self-assembling cosolute which forms reversible clusters. The potential is evaluated at cosolute state points with different densities and temperatures but ... More

The ergodic problem for some subelliptic operators with unbounded coefficientsOct 29 2015Jan 19 2016We study existence and uniqueness of the invariant measure for a stochastic process with degenerate diffusion, whose infinitesimal generator is a linear subelliptic operator in the whole space R N with coefficients that may be unbounded. Such a measure ... More

Tuning effective interactions close to the critical point in colloidal suspensionsSep 11 2012We report a numerical investigation of two colloids immersed in a critical solvent, with the aim of quantifying the effective colloid-colloid interaction potential. By turning on an attraction between the colloid and the solvent particles we follow the ... More

Effective potentials induced by self-assembly of patchy particlesNov 22 2016Feb 07 2019Effective colloid-colloid interactions can be tailored through the addition of a complex cosolute. Here we investigate the case of a cosolute made by self-assembling patchy particles. Depending on the valence, these particles can form either polymer chains ... More

Casimir-like forces at the percolation transitionAug 18 2013Jul 15 2014Percolation and critical phenomena show common features such as scaling and universality. Colloidal particles, immersed in a solvent close to criticality, experience long-range effective forces, named critical Casimir forces. %These originate from the ... More

Host galaxies and black hole masses of low and high luminosity radio loud active nucleiApr 10 2003We investigate the host galaxy luminosities of BL Lac Objects (BLLs) and Radio Loud Quasars (RLQs) at z<0.5 imaged with the Hubble Space Telescope (HST). From a homogeneous treatment of the data we construct the host galaxy luminosity functions (HGLFs) ... More

On a singular Liouville-type equation and the Alexandrov isoperimetric inequalitySep 06 2016We obtain a generalized version of an inequality, first derived by C. Bandle in the analytic setting, for weak subsolutions of a singular Liouville-type equation. As an application we obtain a new proof of the Alexandrov isoperimetric inequality on singular ... More

Self gravitating cosmic strings and the Alexandrov's inequality for Liouville-type equationsSep 10 2014Motivated by the study of self gravitating cosmic strings, we pursue the well known method by C. Bandle to obtain a weak version of the classical Alexandrov's isoperimetric inequality. In fact we derive some quantitative estimates for weak subsolutions ... More

On the depth of quantum spaceJul 22 2011We focus on the question: "Is space fundamentally discrete or continuous?" in the context of current quantum gravity research. In particular, we paint a scenario based on the idea that 'quantum space' is a sort of peculiar condensed matter system, and ... More

A note on the multiplicative gamma processOct 11 2016Adaptive dimensionality reduction in high-dimensional problems is a key topic in statistics. The multiplicative gamma process prior takes a step in this direction, but improved studies on its properties are required to ease implementation. This note addresses ... More

X Ray Precursors in SGRs: Precessing Gamma Jet TailsMay 16 2001May 18 2001Weak isolated X-ray precursor events before the main Gamma Ray Burst, GRB, and also rare Soft Gamma Repeaters, SGR, events are in complete disagreement with any Fireball, or Magnetar, one-shoot explosive scenarios. Fireball model in last two years has ... More

GRBs and the Ghost of the FireballMar 17 2001Jan 17 2002Gamma Ray Burst has been widely believed in last decade to be super-explosions: the Fireball. We are argue on the contrary that GRBs (as well as Soft Gamma Repeaters SGR) are precessing Gamma Jets. We remind the list of contradiction that Fireball and ... More

Invisible Higgs in large extra dimension modelsAug 06 2004In large extra dimension models the presence of an interaction between the Ricci scalar curvature and the Higgs doublet of the Standard Model can give rise to an invisible decay of the Higgs to Kaluza Klein graviscalars. The corresponding invisible width ... More

Probing extra dimensions through the invisible Higgs decayMar 22 2005In the large extra dimension model of Arkani-Hamed, Dimopoulos and Dvali the presence of an interaction between the Ricci scalar curvature and the Higgs doublet of the Standard Model makes a light Higgs boson observable at LHC at the 5 sigma level through ... More

Universal Lagrangian BundlesApr 10 2013The obstruction to construct a Lagrangian bundle over a fixed integral affine manifold was constructed by Dazord and Delzant in \cite{daz_delz} and shown to be given by `twisted' cup products in \cite{sepe_lag}. This paper uses the topology of universal ... More

Yet again on two examples by Iyama and YoshinoSep 11 2014We give an elementary proof of Iyama-Yoshino's classification of rigid MCM modules on Veronese embeddings in P9.

Logic on the n-cubeJul 24 2012We endow the partially ordered set of nonempty faces of the n-cube with a distinguished 0-dimensional face and three operations that naturally extend the Rota-Metropolis partial operations. While the structures thus obtained turn out to be term-equivalent ... More

TeV gamma-UHECR anisotropy by decaying nuclei in flight: first neutrino traces?Jul 01 2012Ultra High Cosmic Rays) made by He-like lightest nuclei might solve the AUGER extragalactic clustering along Cen A. Moreover He like UHECR nuclei cannot arrive from Virgo because the light nuclei fragility and opacity above a few Mpc, explaining the Virgo ... More

Group field theory as the 2nd quantization of Loop Quantum GravityOct 29 2013Aug 18 2015We construct a 2nd quantized reformulation of canonical Loop Quantum Gravity at both kinematical and dynamical level, in terms of a Fock space of spin networks, and show in full generality that it leads directly to the Group Field Theory formalism. In ... More

A note on the multiplicative gamma processOct 11 2016Oct 30 2016Adaptive dimensionality reduction in high-dimensional problems is a key topic in statistics. The multiplicative gamma process takes a relevant step in this direction, but improved studies on its properties are required to ease implementation. This note ... More

Gravitational collapse of Hagedorn fluidsMay 11 2016We consider a toy model for relativistic collapse of an homogeneous perfect fluid that takes into account an equation of state for high density matter, in the form of an Hagedorn phase, and semiclassical corrections in the strong field. We show that collapse ... More

Reverse Khas'minskii conditionMay 13 2010Oct 20 2010The aim of this paper is to present and discuss some equivalent characterizations of p-parabolicity in terms of existence of special exhaustion functions. In particular, Khas'minskii in [K] proved that if there exists a 2-superharmonic function k defined ... More

Diophantine approximation by almost equilateral trianglesMay 09 2017A {\it two-dimensional continued fraction expansion} is a map $\mu$ assigning to every $x \in\mathbb R^2\setminus\mathbb Q^2$ a sequence $\mu(x)=T_0,T_1,\dots$ of triangles $T_n$ with vertices $x_{ni}=(p_{ni}/d_{ni},q_{ni}/d_{ni})\in\mathbb Q^2, d_{ni}>0, ... More

The invariably generating graph of the alternating and symmetric groupsJun 26 2017Given a finite group $G$, the invariably generating graph of $G$ is defined as the undirected graph in which the vertices are the nontrivial conjugacy classes of $G$, and two classes are connected if and only if they invariably generate $G$. In this paper ... More

On the orbital stability of standing-waves solutions to a coupled non-linear Klein-Gordon equationSep 13 2010May 29 2011We consider a system of two coupled non-linear Klein-Gordon equations. We show the existence of standing waves solutions and the existence of a Lyapunov function for the ground state.

Global bifurcation analysis of mean field equations and the Onsager microcanonical description of two-dimensional turbulenceSep 14 2016Oct 21 2016On strictly starshaped domains of second kind we find natural sufficient conditions which allow the solution of two long standing open problems closely related to the mean field equation $\prl$ below. On one side we catch the global behaviour of the Entropy ... More

Modular theory for the von Neumann algebras of Local Quantum PhysicsDec 08 2008In the first part, the second quantization procedure and the free Bosonic scalar field will be introduced, and the axioms for quantum fields and nets of observable algebras will be discussed. The second part is mainly devoted to an illustration of the ... More

Rank 2 arithmetically Cohen-Macaulay bundles on a nonsingular cubic surfaceApr 24 2005Jul 27 2006Rank 2 indecomposable arithmetically Cohen-Macaulay bundles E on a nonsingular cubic surface X in P^3 are classified, by means of the possible forms taken by the minimal graded free resolution of E over P^3. The admissible values of the Chern classes ... More

Almost Lagrangian ObstructionJun 22 2011The aim of this paper is to describe the obstruction for an almost Lagrangian fibration to be Lagrangian, a problem which is central to the classification of Lagrangian fibrations and, more generally, to understanding the obstructions to carry out surgery ... More

Sharp estimate on the first eigenvalue of the p-Laplacian on compact manifold with nonnegative Ricci curvatureFeb 02 2011Jan 07 2014We prove the sharp estimate on the first nonzero eigenvalue of the p-laplacian on a compact Riemannian manifold with nonnegative Ricci curvature and possibly with convex boundary (in this case we assume Neumann b.c. on the p-laplacian). The proof is based ... More

On the structure of Selmer and Shafarevich-Tate groups of higher weight modular formsNov 12 2016May 01 2017Under a non-torsion assumption on Heegner points, results of Kolyvagin describe the structure of Shafarevich-Tate groups of elliptic curves. In this paper we prove analogous results for ($p$-primary) Shafarevich-Tate groups associated with higher weight ... More

On short expressions for cosets of permutation subgroupsMay 30 2018Oct 22 2018Following Babai's algorithm for the string isomorphism problem, we determine that it is possible to write expressions of short length describing certain permutation cosets, including all permutation subgroups; this is feasible both in the original version ... More

Competition/Enhancement of Two Probe Order Parameters in the Unbalanced Holographic SuperconductorFeb 28 2013Mar 02 2013We introduce and study a simple unbalanced holographic superconductor model with two scalar order parameters. The attention is focused on the possibility of coexisting orderings corresponding to the concomitant condensation of two scalar operators. Through ... More

Trapping Electromagnetic Solitons in CylindersApr 03 2013Electromagnetic waves, in vacuum or dielectrics, can be confined in unbounded cylinders in such a way that they turn around the main axis. For particular choices of the cylinder's section, interesting stationary configurations may be assumed. By refining ... More

Numerical Simulation of Electromagnetic Solitons and their Interaction with MatterDec 14 2009A suitable correction of the Maxwell model brings to an enlargement of the space of solutions, allowing for the existence of solitons in vacuum. We review the basic achievements of the theory and discuss some approximation results based on an explicit ... More

Electromagnetic Radiations as a Fluid FlowNov 25 2009We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant quantity of electromagnetic ... More

Modular Covariance, PCT, Spin and StatisticsJul 05 1995The notion of modular covariance is reviewed and the reconstruction of the Poincar\'e group extended to the low-dimensional case. The relations with the PCT symmetry and the Spin and Statistics theorem are described.

TeV sky versus AUGER one: are UHECR also radioactive, heavy galactic nuclei?Dec 30 2011Jan 24 2012UHECR (Ultra High Cosmic Rays) made by He-like lightest nuclei might solve the AUGER extragalactic clustering along Cen A: He UHECR cannot arrive from Virgo because the light nuclei fragility and opacity above few Mpc; UHECR signals are clustering along ... More

Gamma Ray Burst and Soft Gamma Repeaters. Spinning, Precessing Gamma JetsJun 28 1999Gamma Ray Bursts as recent GRB990123 and GRB990510 are observed to occur in cosmic volumes with a corresponding output reaching, for isotropic explosions, energies as large as two solar masses annihilation. These energies are underestimated because of ... More

On the nature of the GRBs-SGRs blazing jetMar 29 1999Aug 04 1999Gamma Ray Burst and Soft Gamma Repeaters are neither standard candle nor isotropic explosions. Our model explain them as strong blazing of a light-house, spinning and precessing gamma jet. Such jets at maximal output (as GRBs in Supernova like sources ... More

X Ray Precursors in GRBs and SGRs: outer X tails around a Precessing Gamma JetNov 22 2000Nov 27 2000Weak isolated X-ray precursor events before the main Gamma Ray Burst, GRB, and also rare Soft Gamma Repeaters, SGR, events are in disagreement with any Fireball, or Magnetar, scenarios. These models are originated by an unique explosive event leading, ... More

Discovering Ultra High Energy Neutrinos by Horizontal and Upward tau Air-Showers: Evidences in Terrestrial Gamma Flashes?Feb 24 2000May 18 2010Ultra high energy neutrinos UHE neutrino Tau, anti-neutrino Tau, anti-neutrino electron at PeVs, and higher energy may induce tau air-showers whose detectability is million to billion times amplified by their secondaries. We considered UHE nu_{tau}- N ... More

A Strong Electroweak Sector with Decoupling at Low EnergyAug 12 1997The phenomenology at future hadron colliders of a model with strong interacting vector and axial vector bosons possessing a discrete symmetry demanding mass degeneracy is presented.

Quaternionic Kähler Reductions of Wolf SpacesAug 14 2006The main purpose of the following article is to introduce a \emph{Lie theoretical} approach to the problem of classifying pseudo quaternionic-K\"ahler (QK) reductions of the pseudo QK symmetric spaces, otherwise called \emph{generalized Wolf spaces}.

An Optimally Weighted Estimator of the Linear Power Spectrum Disentangling the Growth of Density Perturbations Across Galaxy SurveysDec 02 2016Measuring the clustering of galaxies from surveys allows us to estimate the power spectrum of matter density fluctuations, thus constraining cosmological models. This requires careful modelling of observational effects to avoid misinterpretation of data. ... More

On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone setsAug 20 2018Feb 23 2019In the setting of step two Carnot groups, we show a "cone property" for horizontally convex sets. Namely we prove that, given a horizontally convex set $C$, a pair of points $P\in \partial C$ and $Q\in $ int $C$, both belonging to a horizontal line $\ell$, ... More

Mirabolic quantum $\mathfrak{sl}_2$Sep 16 2015The quantum enveloping algebra of $\mathfrak{sl}_n$ (and the quantum Schur algebras) was constructed by Beilinson-Lusztig-MacPherson as the convolution algebra of $GL_d$-invariant functions over the space of pairs of partial $n$-step flags over a finite ... More

Representing Dehn twists with branched coveringsOct 01 2007Aug 02 2008We show that any homologically non-trivial Dehn twist of a compact surface F with boundary is the lifting of a half-twist in the braid group B_n, with respect to a suitable branched covering p : F -> B^2. In particular, we allow the surface to have disconnected ... More

Robinson-Schensted-Knuth correspondence in the geometry of partial flag varietiesApr 19 2010Apr 21 2010In this paper we generalize to the case of partial flags a result proved both by Spaltenstein and by Steinberg that relates the relative position of two complete flags and the irreducible components of the flag variety in which they lie, using the Robinson-Schensted-Knuth ... More

Least-squares Solutions of Linear Differential EquationsFeb 25 2017This study shows how to obtain least-squares solutions to initial and boundary value problems to nonhomogeneous linear differential equations with nonconstant coefficients of any order. However, without loss of generality, the approach has been applied ... More

The diameter of products of finite simple groupsFeb 19 2019Following partially a suggestion by Pyber, we prove that the diameter of a product of non-abelian finite simple groups is bounded linearly by the maximum diameter of its factors. For completeness, we include the case of abelian factors and give explicit ... More

Ulrich bundles on K3 surfacesJul 20 2018Sep 17 2018We show that any polarized K3 surface supports special Ulrich bundles of rank 2.

Global bifurcation analysis of mean field equations and the Onsager microcanonical description of two-dimensional turbulenceSep 14 2016On strictly starshaped domains of second kind we find natural sufficient conditions which allow the solution of two long standing open problems closely related to the mean field equation $\prl$ below. On one side we catch the global behaviour of the Entropy ... More

Conjugate flow action functionalsOct 13 2011Oct 15 2013We present a new general method to construct an action functional for a non-potential field theory. The key idea relies on representing the governing equations of the theory relative to a diffeomorphic flow of curvilinear coordinates which is assumed ... More

Tests for a Strong Electroweak Sector at Future e^+e^- High Energy CollidersNov 19 1997Feb 09 1998The study of the scattering at high energy of the gauge bosons W and Z, in particular longitudinally polarized W and Z, can clarify the mechanism of spontaneous symmetry breaking in the Standard Model of the electroweak interactions. Different models ... More

Apart Cen A are UHECR mostly heavy radioactive and galactic nuclei?Dec 29 2011Feb 28 2012Earliest AUGER UHECR anisotropy correlated with AGN within a GZK Universe almost fade away. Recent UHECR mass compositions did show a negligible nucleon composition and an UHECR nuclei (light or heavy) signature. The absence of UHECR events toward the ... More

GRBs by thin persistent precessing lepton Jets: the long life GRB110328 and the Neutrino signalAug 02 2011Mar 29 2012Gamma Ray Burst sources are apparently evolving around us in a harder and brighter samples at far and far redshift. The average output may range from a near Supernova (nearest events) output to a billion time that power for most distant events. Such a ... More

Tau air showers detectability with GLASTJun 12 2008We show that with GLAST there will be the possibility to detect, within the UHECR skimming at atmosphere edges, the showers generated by very high energy upward and horizontal Tau. The effective area, thanks to the large area covered by the showers at ... More

Arrays is Space to detect Upward Tau and Highest Altitude ShowersJul 05 2001Ultra High Energy, UHE, upward Tau neutrinos Tau, anti-neutrino Tau, above hundred TeVs and up to tens PeV energies, of relevant astrophysical nature, may lead to UHE Taus and consequent Up-ward Tau air-Showers {UPTAUS} after interaction on Earth crust ... More

Tau Air-Showers Signature of Ultra High Energy NeutrinosJan 31 2001The discover of Ultra High Energy Neutrino of astrophysical nature may be already reached. Indeed upward and horizontal tau Air-showers emerging from the Earth crust or mountain chains offer the best and most powerful signal of Ultra High Energy UHE neutrinos ... More

Neutrino Solar Flare detection for a saving alert system of satellites and astronautsJun 19 2011Largest Solar Neutrino Flare may be soon detectable by Deep Core neutrino detector immediately and comunicate to satellites or astronauts. Its detection is the fastest manifestation of a later (tens minutes,hours) dangerous cosmic shower. The precursor ... More

UHECR besides CenA: hints of galactic sourcesNov 23 2009Nov 26 2009Ultra High Energy Cosmic Rays, UHECR, maybe protons, as most still believe and claim, or nuclei; in particular lightest nuclei as we advocated recently. The first (Auger Collaboration) nucleon proposal (2007)[2] foresaw to trace clearly the UHECR GZK ... More

Horizontal and Upward Tau Airshowers in Valleys from Mountains and Space: Discovering UHE Neutrinos and New PhysicsJun 13 2001Upward and horizontal tau Air-showers emerging from the Earth crust or mountain chains are the most powerful signals of Ultra High Energy UHE neutrinos nu_{tau}, bar\nu_{tau} and bar{nu}_e at PeVs and higher energy. The multiplicity in tau Air-showers ... More

Regularity of the extremal solution for singular p-Laplace equationsJul 14 2014Sep 17 2014We study the regularity of the extremal solution $u^*$ to the singular reaction-diffusion problem $-\Delta_p u = \lambda f(u)$ in $\Omega$, $u =0$ on $\partial \Omega$, where $1<p<2$, $0 < \lambda < \lambda^*$, $\Omega \subset \mathbb{R}^n$ is a smooth ... More

UHECR and GRB neutrinos: an incomplete revolution?Aug 01 2014At highest energy edges Ultra High Energy Cosmic Ray, (UHECR) and PeVs neutrino (UHE neutrino), should soon offer new exciting astronomy. The fast and somehow contradictory growth of hundred of antagonist models shows the explosive vitality of those new ... More

On the p-Laplace operator on Riemannian manifoldsDec 14 2012Jan 24 2014This thesis covers different aspects of the p-Laplace operators on Riemannian manifolds. Chapter 2. Potential theoretic aspects: the Khasmkinskii condition. Chapter 3: sharp eigenvalue estimates with Ricci curvature lower bounds. Chapter 4: Critical sets ... More

The quantum geometry of tensorial group field theoriesNov 24 2012We remark the importance of adding suitable pre-geometric content to tensor models, obtaining what has recently been called tensorial group field theories, to have a formalism that could describe the structure and dynamics of quantum spacetime. We also ... More

Non-commutative quantum geometric data in group field theoriesMay 08 2014We review briefly the motivations for introducing additional group-theoretic data in tensor models, leading to the richer framework of group field theories, themselves a field theory formulation of loop quantum gravity. We discuss how these data give ... More

Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theoryDec 10 2013We introduce a new purely bosonic, $\frac{1}{6}$ BPS Wilson loop for ABJM theory on $S^3$ that couples scalar fields to a latitude at an angle $\theta$ on $S^2\in\mathbb{C}P^3$. Through localization of this operator, we relate the expansion of the cusp ... More

Search for the flavour-changing neutral current decay D0 to mu+mu- in pp collisions at sqrt(s) = 7 TeV with CMSAug 29 2012A search for the flavour-changing neutral current decay D0 to mu+mu- is performed in pp collisions at sqrt(s) = 7 TeV using 90 pb-1 of data collected by the CMS experiment at the LHC. No evidence is found for this decay mode. The upper limit on the branching ... More

Angular and CP-violation analyses of $\bar{B}\to D^{*+} l^-\barν_{l}$ decays at hadron collider experimentsDec 19 2018The $\bar{B}\to D^{*+} l^-\bar{\nu}_{l}$ branching fraction ratio $R(D^{*})$ has shown intriguing discrepancies between the Standard Model prediction and measurements performed at BaBar, Belle and LHCb experiments, a possible sign of beyond the Standard ... More

Weighted Average Number of Prime $m$-tuples lying on an Admissible $k$-tuple of Linear FormsApr 17 2018We find an upper bound for the sum $\sum_{x<n\leq 2x}\textbf{1}_{\mathbb{P}}(n+h_{i_{1}})\cdots\textbf{1}_{\mathbb{P}}(n+h_{i_{m+1}})w_{n}$, where $(h_{i_{1}},...,h_{i_{m+1}})$ is any $(m+1)$-tuple of elements in the admissible set $\mathcal{H}=\{h_{1},...,h_{k}\}$, ... More

Universal Lefschetz fibrations over bounded surfacesJun 17 2011Jul 08 2012In analogy with the vector bundle theory we define universal and strongly universal Lefschetz fibrations over bounded surfaces. After giving a characterization of these fibrations we construct very special strongly universal Lefschetz fibrations when ... More

Cohomologies of certain orbifoldsNov 12 2012We study the Bott-Chern cohomology of complex orbifolds obtained as quotient of a compact complex manifold by a finite group of biholomorphisms.

On the Bott-Chern and Aeppli cohomologyJul 25 2015Aug 18 2015This survey summarizes the results discussed in a talk at "Bielefeld Geometry & Topology Days" held at Bielefeld University in July 2015. We are interested in quantitative and qualitative properties of Bott-Chern cohomology. We announce new results obtained ... More

Basic geometry of the affine group over ZFeb 03 2019The subject matter of this paper is the geometry of the affine group over the integers, $\mathsf{GL}(n,\mathbb{Z})\ltimes \mathbb{Z}^n$. Turing-computable complete $\mathsf{GL}(n,\mathbb{Z})\ltimes \mathbb{Z}^n$-orbit invariants are constructed for angles, ... More

Elliptic semi-linear systems on R\sp NMay 02 2010In this work we consider a system of k non-linear elliptic equations where the non-linear term is the sum of a quadratic form and a sub-critic term. We show that under suitable assumptions, e.g. when the non-linear term has a zero with non-zero coordinates, ... More

Classifying $GL(2,\mathbb Z) \ltimes \mathbb Z^{2}$-orbits by subgroups of $\mathbb R$Jan 15 2014Let $\mathcal G_2$ denote the affine group $GL(2,\mathbb Z) \ltimes \mathbb Z^{2}$. For every point $x=(x_1,x_2) \in \R2$ let $\orb(x)=\{y\in\R2\mid y=\gamma(x)$ for some $\gamma \in \mathcal{G}_2 \}$. Let $G_{x}$ be the subgroup of the additive group ... More

Bundles on the Fano threefold V_5Jul 16 2004Using an explicit resolution of the diagonal for the variety V_5, we provide cohomological characterizations of the universal and quotient bundles. A splitting criterion for bundles over V_5 is also proved. The presentation of semistable aCM (i.e. with ... More

On Modular Termination Proofs of General Logic ProgramsMay 11 2000Jul 30 2001We propose a modular method for proving termination of general logic programs (i.e., logic programs with negation). It is based on the notion of acceptable programs, but it allows us to prove termination in a truly modular way. We consider programs consisting ... More

A 20 GeVs transparent neutrino astronomy from the North Pole?Jan 10 2011Muon neutrino astronomy is drown within a polluted atmospheric neutrino noise. However at 24 GeV energy atmospheric muon neutrinos, while rising vertically along the terrestrial diameter, should disappear (or be severely depleted) while converting into ... More

Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshesSep 15 2016We propose in this work a unified formulation of mixed and primal discretization methods on polyhedral meshes hinging on globally coupled degrees of freedom that are discontinuous polynomials on the mesh skeleton. To emphasize this feature, these methods ... More

On concordances in 3-manifoldsFeb 17 2016We describe an action of the concordance group of knots in the three-sphere on concordances of knots in arbitrary 3-manifolds. As an application we define the notion of almost-concordance between knots. After some basic results, we focus the attention ... More

Global bifurcation analysis of mean field equations and the Onsager microcanonical description of two-dimensional turbulenceSep 14 2016Oct 20 2016On strictly starshaped domains of second kind we find natural sufficient conditions which allow the solution of two long standing open problems closely related to the mean field equation $\prl$ below. On one side we catch the global behaviour of the Entropy ... More

Upward and Horizontal Tau Airshowers by UHE NeutrinosNov 22 2001Dec 02 2001Upward and Horizontal Tau Air-showers (UPTAUS and HORTAUS) emerging from the Earth crust, mountain chains or deep plate boundaries are the most powerful signals of Ultra High Energy UHE anti neutrinos electron at PeV and neutrino and anti-neutrino tau ... More

GRBs, Fireballs and Precessing Gamma JetsApr 27 2001Fireballs are huge isotropic explosions models widely believed to explain Gamma Ray Burst, GRBs (Piran,1999); ever-new versions consider wide beamed (10^o) Jet explosions hitting external shells. On the contrary, since 1994-1998, we argued (Fargion 1995-2000; ... More

Detecting Ultra High Energy Neutrinos by Upward Tau Airshowers and Gamma FlashesMay 22 2000Tau Air-showers are the best trace of rarest Ultra High Energy neutrinos UHE $\nu_{\tau}$, $\bar\nu_{\tau}$ and $\bar{\nu}_e$ at PeV and higher energy. $\tau$ Air-showers may generate billion times amplified signals by their secondaries . Horizontal amplified ... More