Limit points and additive group actions

被引：1

作者：

Arzhantsev, Ivan ^{[1
]}

机构：

[1] HSE Univ, Fac Comp Sci, Pokrovsky Blvd 11, Moscow 109028, Russia

来源：

RICERCHE DI MATEMATICA | 2024年 / 73卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

Affine variety; Torus action; Additive group action; Locally nilpotent derivation; AFFINE; VARIETIES;

D O I：

10.1007/s11587-021-00630-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that an effective action of the one-dimensional torus G(m) on a normal affine algebraic variety X can be extended to an effective action of a semi-direct product G(m) (sic) G(a) with the same general orbit closures if and only if there is a divisor D on X that consists of G(m)-fixed points. This result is applied to the study of orbits of the automorphism group Aut(X) on X.

引用

页码：715 / 724

页数：10

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