Contribution of jumping numbers by exceptional divisors

JOURNAL OF ALGEBRA

卷:496

Article

Baumers, Hans¹  Veys, Willem¹  Smith, Karen E.²  Tucker, Kevin³ 

[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

关键词: Multiplier ideals;    Jumping numbers;    Exceptional divisors;    Log canonical model;   

DOI  :  10.1016/j.jalgebra.2017.11.007

来源: Elsevier

【 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.

【 授权许可】

Free