柔性变量的嵌入定理

Pub Date : 2024-01-01 DOI:10.1307/mmj/20226268

S. Kaliman

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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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