Galois extensions, plus closure, and maps on local cohomology

被引：8

作者：

Sannai, Akiyoshi ^{[2
]}

Singh, Anurag K. ^{[1
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

[2] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

来源：

ADVANCES IN MATHEMATICS | 2012年 / 229卷 / 03期

基金：

美国国家科学基金会;

关键词：

Characteristic p methods; Local cohomology; Big Cohen-Macaulay algebras; Integral ring extensions; Galois extensions; INTEGRAL-EXTENSIONS; MODULES; RINGS;

D O I：

10.1016/j.aim.2011.12.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a local domain (R, m) of prime characteristic that is a homomorphic image of a Gorenstein ring, Huneke and Lyubeznik proved that there exists a module-finite extension domain S such that the induced map on local cohomology modules H-m(i) (R) --> H-m(i) (S) is zero for each i < dim R. We prove that the extension S may be chosen to be generically Galois, and analyze the Galois groups that arise. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1847 / 1861

页数：15

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