Good filtrations and strong F-regularity of the ring of UP-invariants

被引：3
作者：
Hashimoto, Mitsuyasu [1 ]
机构：
[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan
来源：
JOURNAL OF ALGEBRA | 2012年 / 370卷
关键词：
Good filtration; F-regular; Invariant subring; RATIONAL-SINGULARITIES;
D O I：
10.1016/j.jalgebra.2012.07.045
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 P be a parabolic subgroup of G, and U-P its unipotent radical. We prove that if S = Sym V has a good filtration, then S-UP is strongly F-regular. (C) 2012 Elsevier Inc. All rights reserved.
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页码：198 / 220
页数：23
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