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arXiv · 1711.00806

Two-dimensional locally $\mathbb{K}$-Nash groups

Elías Baro·Juan de Vicente·Margarita Otero
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Abstract

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 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.

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Elías Baro, Juan de Vicente, Margarita Otero. 2017-11-02. Two-dimensional locally $\mathbb{K}$-Nash groups. https://arxiv.org/abs/1711.00806

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