### Latest in 14p20, 22e15, 03c64

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Two-dimensional simply connected abelian locally Nash groupsJun 01 2015Nov 05 2017The aim of this paper is to give a description of simply connected abelian locally Nash groups of dimension $2$. Along the way we prove that, for any $n\geq 2$, a locally Nash structure over $(\mathbb{R}^n,+)$ can be characterized via a meromorphic map ... More Two-dimensional simply connected abelian locally Nash groupsJun 01 2015The aim of this paper is to give a description of simply connected abelian locally Nash groups of dimension $2$. Along the way we prove that, for any $n\geq 2$, a locally Nash structure over $(\mathbb{R}^n,+)$ can be characterized via a meromorphic map ... More Affine Nash groups over real closed fieldsMay 13 2011We prove that a semialgebraically connected affine Nash group over a real closed field R is Nash isogenous to the semialgebraically connected component of the group H(R) of R-points of some algebraic group H defined over R. In the case when R is the field ... More