A formula for jumping numbers in a two-dimensional regular local ring

被引：2
|
作者：
Hyry, Eero [1 ]
Jarvilehto, Tarmo [2 ]
机构：
[1] Univ Tampere, Fac Nat Sci, Math & Stat, FIN-33014 Tampereen Yliopisto, Finland
[2] Paaskykuja 5, FI-04620 Mantsala, Finland
来源：
JOURNAL OF ALGEBRA | 2018年 / 516卷
关键词：
Jumping number; Multiplier ideal; Zariski exponent; MULTIPLIER IDEALS; SMOOTH SURFACE; CURVES;
D O I：
10.1016/j.jalgebra.2018.09.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we give an explicit formula for the jumping numbers of an ideal of finite colength in a two-dimensional regular local ring with an algebraically closed residue field. For this purpose, we associate a certain numerical semigroup to each vertex of the dual graph of a log-resolution of the ideal. (C) 2018 Elsevier Inc. All rights reserved.
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页码：437 / 470
页数：34
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