论仿射环状变的自变群的连通性

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-16 DOI:arxiv-2409.10349

Veronika Kikteva

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引用次数: 0

摘要

我们获得了仿射环 variety 的自变群在组合方面以及在该 variety 的除数类群方面是连通的标准。我们描述了非退化仿射环 variety 的自变群的成分群。特别是，我们证明了该自变群的连通成分数是有限的。

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On the connectedness of the automorphism group of an affine toric variety

We obtain a criterion for the automorphism group of an affine toric variety to be connected in combinatorial terms and in terms of the divisor class group of the variety. The component group of the automorphism group of a non-degenerate affine toric variety is described. In particular, we show that the number of connected components of the automorphism group is finite.

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arXiv - MATH - Algebraic Geometry

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