FLEXIBILITY OF NORMAL AFFINE HOROSPHERICAL VARIETIES

被引：6
|
作者：
Gaifullin, Sergey [1 ,2 ]
Shafarevich, Anton [1 ,2 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Dept Higher Algebra, Leninskie Gory 1, Moscow 119991, Russia
[2] Natl Res Univ, Fac Comp Sci, Higher Sch Econ, Kochnovskiy Proezd 3, Moscow 125319, Russia
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 08期
关键词：
Affine variety; automorphism; flexible variety; horospherical variety; locally nilpotent derivation; linear group action;
D O I：
10.1090/proc/14528
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate flexibility of affine varieties with an action of a linear algebraic group. Flexibility of a smooth affine variety with only constant invertible functions and a locally transitive action of a reductive group is proved. Also we show that a normal affine complexity-zero horospherical variety with only constant invertible functions is flexible.
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页码：3317 / 3330
页数：14
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