The Poincare series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface

被引：10

作者：

Galindo, Carlos ^{[2
,3
]}

Monserrat, Francisco ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain

[2] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain

[3] Univ Jaume 1, Inst Univ Matemat & Aplicac Castellon IMAC, Castellon de La Plana 12071, Spain

来源：

ADVANCES IN MATHEMATICS | 2010年 / 225卷 / 02期

关键词：

Multiplier ideal; Simple complete ideal; Poincare series; JUMPING NUMBERS; VALUATIONS; SINGULARITIES; SPECTRUM;

D O I：

10.1016/j.aim.2010.03.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a simple complete ideal p of a local ring at a closed point on a smooth complex algebraic surface, we introduce an algebraic object, named Poincare series P-p, that gathers in a unified way the jumping numbers and the dimensions of the vector space quotients given by consecutive multiplier ideals attached to p. This paper is devoted to prove that P-p is a rational function giving an explicit expression for it. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1046 / 1068

页数：23

共 29 条

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