English

Two-dimensional simply connected abelian locally Nash groups

Logic 2017-11-07 v2 Algebraic Geometry

Abstract

The aim of this paper is to give a description of simply connected abelian locally Nash groups of dimension 22. Along the way we prove that, for any n2n\geq 2, a locally Nash structure over (Rn,+)(\mathbb{R}^n,+) can be characterized via a meromorphic map admitting an algebraic addition theorem.

Keywords

Cite

@article{arxiv.1506.00405,
  title  = {Two-dimensional simply connected abelian locally Nash groups},
  author = {E. Baro and J. de Vicente and M. Otero},
  journal= {arXiv preprint arXiv:1506.00405},
  year   = {2017}
}

Comments

The results of this paper have been polished and extended. They appear in arXiv:1704.08514, arXiv:1707.08171 and arXiv:1711.00806

R2 v1 2026-06-22T09:44:50.634Z