Good filtrations and F-purity of invariant subrings

被引：2

作者：

Hashimoto, Mitsuyasu ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2011年 / 63卷 / 03期

关键词：

good filtration; F-pure; invariant subring; SMOOTH BASE CHANGE; COHOMOLOGY; REGULARITY; FROBENIUS;

D O I：

10.2969/jmsj/06330815

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be an algebraically closed field of positive characteristic, G a reductive group over k, and V a finite dimensional G-module. Let B be a Borel subgroup of G, and U its unipotent radical. We prove that if S = Sym V has a good filtration, then S-U is F-pure.

引用

页码：815 / 818

页数：4

共 12 条

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