Mass formulas for local Galois representations and quotient singularities II: Dualities and resolution of singularities

Melanie Matchett Wood, Takehiko Yasuda

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A total mass is the weighted count of continuous homomorphisms from the absolute Galois group of a local field to a finite group. In the preceding paper, the authors observed that in a particular example two total masses coming from two different weightings are dual to each other. We discuss the problem of how generally such a duality holds and relate it to the existence of simultaneous resolution of singularities, using the wild McKay correspondence and the Poincaré duality for stringy invariants. We also exhibit several examples.

Original languageEnglish
Pages (from-to)817-840
Number of pages24
JournalAlgebra and Number Theory
Volume11
Issue number4
DOIs
Publication statusPublished - 2017 Jan 1
Externally publishedYes

Keywords

  • Dualities
  • Equisingularities
  • Local Galois representations
  • Mass formulas
  • Quotient singularities
  • Stringy invariants
  • The McKay correspondence

ASJC Scopus subject areas

  • Algebra and Number Theory

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