Discreteness and rationality of F-jumping numbers on singular varieties

被引：49
|
作者：
Blickle, Manuel [1 ]
Schwede, Karl [2 ]
Takagi, Shunsuke [3 ]
Zhang, Wenliang [2 ]
机构：
[1] Univ Duisburg Essen, Fak Math, D-45117 Essen, Germany
[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
[3] Kyushu Univ, Dept Math, Nishi Ku, Fukuoka 8190395, Japan
来源：
MATHEMATISCHE ANNALEN | 2010年 / 347卷 / 04期
基金：
美国国家科学基金会;
关键词：
BERNSTEIN-SATO POLYNOMIALS; MULTIPLIER IDEALS; TIGHT CLOSURE; CHARACTERISTIC-P; TEST ELEMENTS; D-MODULES; RINGS; THRESHOLDS; COHOMOLOGY; PURITY;
D O I：
10.1007/s00208-009-0461-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the F-jumping numbers of the test ideal tau(X; Delta, a(t)) are discrete and rational under the assumptions that X is a normal and F-finite scheme over a field of positive characteristic p, K(X) + Delta is Q-Cartier of index not divisible p, and either X is essentially of finite type over a field or the sheaf of ideals a is locally principal. This is the largest generality for which discreteness and rationality are known for the jumping numbers of multiplier ideals in characteristic zero.
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页码：917 / 949
页数：33
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