Lengths and multiplicities of integrally closed modules over a two-dimensional regular local ring

被引：3

作者：

Kodiyalam, Vijay ^{[1
]}

Mohan, Radha ^{[2
]}

机构：

[1] Inst Math Sci, Madras 600113, Tamil Nadu, India

[2] Univ Delhi, St Stephens Coll, Delhi 110007, India

来源：

JOURNAL OF ALGEBRA | 2015年 / 425卷

关键词：

Integrally closed modules; Hoskin-Deligne formula; Buchsbaum-Rim multiplicity; DELIGNE; FORMULA; HOSKIN;

D O I：

10.1016/j.jalgebra.2014.12.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (R, m) be a two-dimensional regular local ring with infinite residue field. We prove an analogue of the Hoskin-Deligne length formula for a finitely generated, torsion-free, integrally closed R-module M. As a consequence, we get a formula for the Buchsbaum-Rim multiplicity of F/M, where F = M**. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：392 / 409

页数：18

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