English

Classification of Connected Commutative Locally Nash Groups

Algebraic Geometry 2020-12-15 v1

Abstract

In this article, we classify connected commutative (locally) Nash groups, which is a continuation of our previous work on the classification of abelian Nash manifolds. Our results generalize the classification of the one-dimensional case by Madden-Stanton and the two-dimensional case by Baro-Vicente-Otero. Moreover, we determine the affineness and toroidal affinenese of a connected commutative Nash group.

Keywords

Cite

@article{arxiv.2012.07090,
  title  = {Classification of Connected Commutative Locally Nash Groups},
  author = {YiXin Bao and YangYang Chen and WeiKai Hu},
  journal= {arXiv preprint arXiv:2012.07090},
  year   = {2020}
}

Comments

23 pages

R2 v1 2026-06-23T20:55:59.901Z