Contribution of jumping numbers by exceptional divisors

被引：1

作者：

Baumers, Hans ^{[1
]}

Veys, Willem ^{[1
]}

Smith, Karen E. ^{[2
]}

Tucker, Kevin ^{[3
]}

机构：

[1] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B Box 2400, BE-3001 Leuven, Belgium

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[3] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

来源：

JOURNAL OF ALGEBRA | 2018年 / 496卷

关键词：

Multiplier ideals; Jumping numbers; Exceptional divisors; Log canonical model; LOG-CANONICAL MODELS; CURVES; SINGULARITIES; RESOLUTION; SURFACES;

D O I：

10.1016/j.jalgebra.2017.11.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate some necessary and sufficient conditions for an exceptional divisor to contribute jumping numbers of an effective divisor on a variety of arbitrary dimension, inspired by the results for curves on surfaces by Smith and Thompson [17] and Tucker [18]. In particular, we construct an example of an exceptional divisor that is not contracted in the log canonical model, and does not contribute any jumping numbers. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：24 / 47

页数：24

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