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math.AGAug 24, 2024
authors
  • Takehiko Yasuda
institutions
  • Osaka University of Economics
  • The University of Osaka
  • The University of Tokyo
arXiv abstractPDF
paper

Motivic versions of mass formulas by Krasner, Serre and Bhargava

arXiv:2408.13481 · doi:10.1017/fms.2025.10099

Abstract

We prove motivic versions of mass formulas by Krasner, Serre and Bhargava concerning (weighted) counts of extensions of local fields.

arXiv comment31 pages

References in corpus (7)

  • Germs of arcs on singular algebraic varieties and motivic integration
  • Mass formulas for local Galois representations and quotient singularities I: a comparison of counting functions
  • The wild McKay correspondence and p-adic measures
  • Wilder McKay correspondences
  • Mass formulas for local Galois representations and quotient singularities II: dualities and resolution of singularities
  • Moduli of formal torsors II
  • Motivic integration over wild Deligne-Mumford stacks
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