The wild McKay correspondence and p-adic measures

被引：7
|
作者：
Yasuda, Takehiko [1 ]
机构：
[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2017年 / 19卷 / 12期
关键词：
McKay correspondence; p-adic measures; wild quotient singularities; stringy invariants; mass formulas; QUOTIENT SINGULARITIES;
D O I：
10.4171/JEMS/751
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a version of the wild McKay correspondence by using p-adic measures. This result provides new proofs of mass formulas for extensions of a local field by Serre, Bhargava and Kedlaya.
引用
收藏
页码：3709 / 3734
页数：26
相关论文
共 50 条
  • [1] A p-adic simpson correspondence
    Faltings, G
    [J]. ADVANCES IN MATHEMATICS, 2005, 198 (02) : 847 - 862
  • [2] P-adic Measures and P-adic Spaces of Continuous Functions
    Katsaras, A. K.
    [J]. NOTE DI MATEMATICA, 2010, 30 (01): : 61 - 85
  • [3] P-ADIC MEASURES FOR SPHERICAL REPRESENTATIONS OF REDUCTIVE P-ADIC GROUPS
    HARRIS, M
    [J]. DUKE MATHEMATICAL JOURNAL, 1982, 49 (03) : 497 - 512
  • [4] Periodic Points of a p-Adic Operator and their p-Adic Gibbs Measures
    Rozikov, U. A.
    Sattarov, I. A.
    Tukhtabaev, A. M.
    [J]. P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2022, 14 (SUPPL 1) : S30 - S44
  • [5] On p-adic spectral measures
    Shi, Ruxi
    [J]. ADVANCES IN MATHEMATICS, 2023, 433
  • [6] On wild extensions of a p-adic field
    Del Corso, Ilaria
    Dvornicich, Roberto
    Monge, Maurizio
    [J]. JOURNAL OF NUMBER THEORY, 2017, 174 : 322 - 342
  • [7] Notes on the local p-adic Simpson correspondence
    Tsuji, Takeshi
    [J]. MATHEMATISCHE ANNALEN, 2018, 371 (1-2) : 795 - 881
  • [8] A p-adic Nevanlinna-Diophantine correspondence
    Ta Thi Hoai An
    Levin, Aaron
    Wang, Julie Tzu-Yueh
    [J]. ACTA ARITHMETICA, 2011, 146 (04) : 379 - 397
  • [9] Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups
    Aniello, Paolo
    L'Innocente, Sonia
    Mancini, Stefano
    Parisi, Vincenzo
    Svampa, Ilaria
    Winter, Andreas
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 2024, 114 (03)
  • [10] p-adic valued probability measures
    Khrennikov, A
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 1996, 7 (03): : 311 - 330
12345