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arXiv 2012.07090math.AG
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连通交换局部Nash群的分类

Classification of Connected Commutative Locally Nash Groups

YiXin Bao, YangYang Chen, WeiKai Hu

摘要:

在这篇文章中,我们分类连通交换(局部)纳什群,这是我们以前的工作的阿贝尔纳什流形的分类的延续。我们的结果推广了Madden-Stanton对一维情形的分类和Baro-Vicente-Obergy对二维情形的分类。此外,我们还确定了连通交换Nash群的仿射性和环仿射性。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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