柔性变量的嵌入定理

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2024-01-01 DOI:10.1307/mmj/20226268

S. Kaliman

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引用次数: 0

摘要

.让 Z 是一个单独的代数簇，X 是一个光滑的可扩展簇。我们制定了一些标准，根据这些标准，Z 可以封闭地嵌入到 X 中。我们特别指出，如果 X 与一个特殊线性群同构（作为代数簇），且 dim X ≥ max(2 dim Z + 1 , dim T Z ) ，那么 Z 就有一个封闭的嵌入到 X 中。

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Embedding Theorems for Flexible Varieties

. Let Z be an aﬃne algebraic variety and X be a smooth ﬂexible variety. We develop some criteria under which Z admits a closed embedding into X . In particular, we show that if X is isomorphic (as an algebraic variety) to a special linear group and dim X ≥ max(2 dim Z + 1 , dim T Z ) , then Z admits a closed embedding into X .

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.