On the last Hilbert-Samuel coefficient of isolated singularities

被引：2

作者：

Elias, Juan ^{[1
]}

机构：

[1] Univ Barcelona, Dept Algebra & Geometria, E-08007 Barcelona, Spain

来源：

JOURNAL OF ALGEBRA | 2013年 / 394卷

关键词：

Hilbert-Samuel function; Resolution of singularities; Rational singularity; Cohen-Macaulay; INTEGRAL CLOSURES; IDEALS; DEPTH; RINGS;

D O I：

10.1016/j.jalgebra.2013.07.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

J. Lipman proved that the last Hilbert-Samuel coefficient of normal ideals of a 2-dimensional complete local ring R are bounded by the geometric genus of X = Spec(R). In this paper we extend this result to ideals I of a d-dimensional Cohen-Macaulay local ring R such that the associated graded ring of R with respect to I-n is Cohen-Macaulay for n >> 0. We study the ideals such that their last Hilbert-Samuel coefficients equal the geometric genus. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：285 / 295

页数：11

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