%0 Journal Article
%A Baro González, Elías
%A Otero Domínguez, Margarita
%T Two-dimensional locally Nash groups
%D 2021
%U https://hdl.handle.net/20.500.14352/109032
%X We give a classification of connected abelian locally (real) Nash groups of dimension two. We first consider Painlev´e’s description of meromorphic maps admitting an algebraic addition theorem and analyse the algebraic dependence of such maps. We then give a classification of connected abelian locally complex Nash groups of dimension two, from which we deduce the corresponding real classification. As a consequence, we obtain a classification of two-dimensional abelian irreducible algebraic groups defined over R.
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