Two-dimensional locally $\mathbb{K}$-Nash groups
Algebraic Geometry
2017-11-03 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1711.00806,
title = {Two-dimensional locally $\mathbb{K}$-Nash groups},
author = {Elías Baro and Juan de Vicente and Margarita Otero},
journal= {arXiv preprint arXiv:1711.00806},
year = {2017}
}