RT Journal Article T1 Two-dimensional locally Nash groups A1 Baro González, Elías A1 Otero Domínguez, Margarita AB 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. PB Oxford Academic YR 2021 FD 2021 LK https://hdl.handle.net/20.500.14352/109032 UL https://hdl.handle.net/20.500.14352/109032 LA eng DS Docta Complutense RD 6 abr 2025