DISCRETENESS OF F-JUMPING NUMBERS AT ISOLATED NON-Q-GORENSTEIN POINTS

被引：1
作者：
Graf, Patrick [1 ]
Schwede, Karl [2 ]
机构：
[1] Univ Bayreuth, Lehrstuhl Math 1, D-95440 Bayreuth, Germany
[2] Univ Utah, Dept Math, 155 S 1400 E Room 233, Salt Lake City, UT 84112 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 02期
基金：
美国国家科学基金会;
关键词：
Test ideals; F-jumping numbers; Q-Gorenstein; multiplier ideals; TEST IDEALS; MULTIPLIER IDEALS; VARIETIES; RINGS; COEFFICIENTS; THRESHOLDS; ALGEBRAS;
D O I：
10.1090/proc/13739
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the F-jumping numbers of a pair (X, a) in positive characteristic have no limit points whenever the symbolic Rees algebra of -K-X is finitely generated outside an isolated collection of points. We also give a characteristic zero version of this result, as well as a generalization of the Hartshorne-Speiser-Lyubeznik-Gabber stabilization theorem describing the non-F-pure locus of a variety.
引用
收藏
页码：473 / 487
页数：15
相关论文
共 37 条
  • [1] [Anonymous], 2004, GEOMETRIC ASPECTS DW
  • [2] [Anonymous], 1998, Cambridge Tracts in Mathematics
  • [3] [Anonymous], AM MATH SOC
  • [4] [Anonymous], SERIES MODERN SURVEY
  • [5] EXISTENCE OF MINIMAL MODELS FOR VARIETIES OF LOG GENERAL TYPE
    Birkar, Caucher
    Cascini, Paolo
    Hacon, Christopher D.
    McKernan, James
    [J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 23 (02) : 405 - 468
  • [6] Discreteness and rationality of F-thresholds
    Blickle, Manuel
    Mustata, Mircea
    Smith, Karen E.
    [J]. MICHIGAN MATHEMATICAL JOURNAL, 2008, 57 : 43 - 61
  • [7] Blickle M, 2013, J ALGEBRAIC GEOM, V22, P49
  • [8] Cartier modules: Finiteness results
    Blickle, Manuel
    Boeckle, Gebhard
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2011, 661 : 85 - 123
  • [9] Discreteness and rationality of F-jumping numbers on singular varieties
    Blickle, Manuel
    Schwede, Karl
    Takagi, Shunsuke
    Zhang, Wenliang
    [J]. MATHEMATISCHE ANNALEN, 2010, 347 (04) : 917 - 949
  • [10] F-THRESHOLDS OF HYPERSURFACES
    Blickle, Manuel
    Mustata, Mircea
    Smith, Karen E.
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (12) : 6549 - 6565
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