3 citations · 18 across the 17 of their papers we have counts for
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Two-dimensional locally -Nash groups
Elías Baro, Juan de Vicente, Margarita Otero
We give a classification of connected abelian locally (real) Nash groups of dimension two. We first consider Painlevé's description of meromorphic maps admitting an Algebraic Addit…
Cartan subgroups and regular points of o-minimal groups
Elias Baro, Alessandro Berarducci, Margarita Otero
Let G be a group definable in an o-minimal structure M. We prove that the union of the Cartan subgroups of G is a dense subset of G. When M is an expansion of a real closed field w…
Locally C-Nash groups
Elías Baro, Juan de Vicente, Margarita Otero
We introduce the category of locally C-Nash groups, basic examples of such groups are complex algebraic groups. We prove that if two complex algebraic groups are locally C-Nash iso…
An extension result for maps admitting an algebraic addition theorem
E. Baro, J. de Vicente, M. Otero
We prove that if an analytic map admits an algebraic addition theorem then there exists a meromorphic map $g:=(…