Mass Formulas for Local Galois Representations and Quotient Singularities. I: A Comparison of Counting Functions

被引：12

作者：

Wood, Melanie Machett ^{[1
,2
]}

Yasuda, Takehiko ^{[3
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53705 USA

[2] Amer Inst Math, Palo Alto, CA 94306 USA

[3] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 23期

基金：

美国国家科学基金会;

关键词：

MOTIVIC INTEGRATION; STRINGS; POINTS;

D O I：

10.1093/imrn/rnv074

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a relation between the Artin conductor and the weight coming from the motivic integration over wild Deligne-Mumford stacks. As an application, we prove some version of the McKay correspondence, which relates Bhargava's mass formula for extensions of a local field and the Hilbert scheme of points.

引用

页码：12590 / 12619

页数：30

共 8 条

[1] Mass formulas for local Galois representations and quotient singularities II: Dualities and resolution of singularities
Wood, Melanie Matchett
Yasuda, Takehiko
[J]. ALGEBRA & NUMBER THEORY, 2017, 11 (04) : 817 - 840
[2] Mass Formulas for Local Galois Representations (with an Appendix by Daniel Gulotta)
Kedlaya, Kiran S.
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, 2007
[3] Mass formulas for local Galois representations to wreath products and cross products
Wood, Melanie Matchett
[J]. ALGEBRA & NUMBER THEORY, 2008, 2 (04) : 391 - 405
[4] ANALYTIC REPRESENTATIONS OF 2-POINT FUNCTIONS WITH NONCANONICAL LIGHT-CONE SINGULARITIES .I.
LUKIERSKI, J
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (05) : 918 - +
[5] Conditional H I Mass Functions and the H I-to-halo Mass Relation in the Local Universe
Li, Xiao
Li, Cheng
Mo, H. J.
Xiao, Ting
Wang, Jing
[J]. ASTROPHYSICAL JOURNAL, 2022, 941 (01):
[6] COMPARISON OF THE RATES OF FORMATION OF MASSIVE STARS AND OF THE INITIAL MASS FUNCTIONS IN GALAXIES OF THE LOCAL GROUP
LEQUEUX, J
[J]. ASTRONOMY & ASTROPHYSICS, 1979, 71 (1-2) : 1 - 8
[7] On the Comparison of Radial Base Functions and Single Layer Density Representations in Local Gravity Field Modelling from Simulated Satellite Observations
Weigelt, M.
Keller, W.
Antoni, M.
[J]. VII HOTINE-MARUSSI SYMPOSIUM ON MATHEMATICAL GEODESY, 2012, 137
[8] The SCUBA Local Universe Galaxy Survey - I. First measurements of the submillimetre luminosity and dust mass functions
Dunne, L
Eales, S
Edmunds, M
Ivison, R
Alexander, P
Clements, DL
[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2000, 315 (01) : 115 - 139

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