F-PURE THRESHOLDS OF BINOMIAL HYPERSURFACES

被引:12
|
作者
Hernandez, Daniel J. [1 ]
机构
[1] Math Sci Res Inst, Berkeley, CA 94720 USA
基金
美国国家科学基金会;
关键词
D O I
10.1090/S0002-9939-2014-11941-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we develop an algorithm that computes the F-pure threshold of a binomial hypersurface over a field of characteristic p > 0. This algorithm is related to earlier work of Shibuta and Takagi (e.g., both depend on properties of certain associated rational polytopes), but differs in that it works in all characteristics.
引用
收藏
页码:2227 / 2242
页数:16
相关论文
共 50 条
  • [1] On F-pure thresholds
    Takagi, S
    Watanabe, KI
    JOURNAL OF ALGEBRA, 2004, 282 (01) : 278 - 297
  • [2] F-pure Thresholds of Homogeneous Polynomials
    Hernandez, Daniel J.
    Nunez-Betancourt, Luis
    Witt, Emily E.
    Zhang, Wenliang
    MICHIGAN MATHEMATICAL JOURNAL, 2016, 65 (01) : 57 - 87
  • [3] DIAGONAL F-THRESHOLDS AND F-PURE THRESHOLDS OF HIBI RINGS
    Chiba, Takahiro
    Matsuda, Kazunori
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (07) : 2830 - 2851
  • [4] Log canonical thresholds, F-pure thresholds, and nonstandard extensions
    Bhatt, Bhargav
    Hernandez, Daniel J.
    Miller, Lance Edward
    Mustata, Mircea
    ALGEBRA & NUMBER THEORY, 2012, 6 (07) : 1459 - 1482
  • [5] DIAGONAL F-THRESHOLDS ON BINOMIAL HYPERSURFACES
    Matsuda, Kazunori
    Ohtani, Masahiro
    Yoshida, Ken-ichi
    COMMUNICATIONS IN ALGEBRA, 2010, 38 (08) : 2992 - 3013
  • [6] F-pure thresholds and F-jumping exponents in dimension two
    Hara, Nubuo
    MATHEMATICAL RESEARCH LETTERS, 2006, 13 (5-6) : 747 - 760
  • [7] On accumulation points of F-pure thresholds on regular local rings
    Sato, Kenta
    JOURNAL OF ALGEBRA, 2023, 622 : 614 - 635
  • [8] Ascending Chain Condition for F-Pure Thresholds with Fixed Embedding Dimension
    Sato, Kenta
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (10) : 7205 - 7223
  • [9] The structure of F-pure rings
    Aberbach, IM
    Enescu, F
    MATHEMATISCHE ZEITSCHRIFT, 2005, 250 (04) : 791 - 806
  • [10] Local m-adic constancy of F-pure thresholds and test ideals
    Hernandez, Daniel J.
    Nunez-Betancourt, Luis
    Witt, Emily E.
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2018, 164 (02) : 285 - 295