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arXiv 1604.03367math.AG
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Tori群和线性Kähler群的光滑族

Smooth Families of Tori and Linear Kähler Groups

Benoît Claudon

摘要:

这一简短的说明是[CCE 14]的增编,加强了上文所载的结果。前引书特别地,证明了线性K{ä}hler群已经是光滑复射影簇的基本群.这是通过研究在等变上下文中光滑环面族的全空间的相对变形来实现的。

英文摘要:

That short note, meant as an addendum to [CCE14], enhances the results contained in loc. cit. In particular it is proven here that a linear K{ä}hler group is already the fundamental group of a smooth complex projective variety. This is achieved by studying the relative deformation of the total space of a smooth family of tori in an equivariant context.

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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