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

Melanie Machett Wood, Takehiko Yasuda

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)12590-12619
Number of pages30
JournalInternational Mathematics Research Notices
Volume2015
Issue number23
DOIs
Publication statusPublished - 2015 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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