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The wild McKay correspondence and $p$-adic measures

Takehiko Yasuda

Abstract

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.

The wild McKay correspondence and $p$-adic measures

Abstract

We prove a version of the wild McKay correspondence by using -adic measures. This result provides new proofs of mass formulas for extensions of a local field by Serre, Bhargava and Kedlaya.

Paper Structure

This paper contains 8 sections, 25 theorems, 91 equations.

Table of Contents

  1. Introduction
  2. Convention and notation
  3. $p$-adic measures on $K$-analytic manifolds
  4. Log pairs
  5. Group actions
  6. Untwisting
  7. Main results
  8. Linear actions and mass formulas

Key Result

Theorem 1.1

We have

Theorems & Definitions (69)

  • Theorem 1.1
  • Lemma 3.1
  • proof
  • Lemma 4.1
  • proof
  • Lemma 4.2
  • proof
  • Lemma 4.3
  • proof
  • Definition 4.4
  • ...and 59 more