UNIFORMLY RATIONAL VARIETIES WITH TORUS ACTION

被引：4
|
作者：
Liendo, Alvaro [1 ]
Petitjean, Charlie [1 ]
机构：
[1] Univ Talca, Inst Matemat & Fis, Casilla 721, Talca, Chile
来源：
TRANSFORMATION GROUPS | 2019年 / 24卷 / 01期
关键词：
PROJECTIVE MODULES;
D O I：
10.1007/s00031-017-9451-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A smooth variety is called uniformly rational if every point admits a Zariski open neighborhood isomorphic to a Zariski open subset of the affine space. In this note we show that every smooth and rational affine variety endowed with an algebraic torus action such that the algebraic quotient has dimension 0 or 1 is uniformly rational.
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页码：149 / 153
页数：5
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