VOL. 88 | 2023 Open problems in the wild McKay correspondence and related fields
Takehiko Yasuda

Editor(s) Yukari Ito, Akira Ishii, Osamu Iyama

Adv. Stud. Pure Math., 2023: 279-303 (2023) DOI: 10.2969/aspm/08810279

Abstract

The wild McKay correspondence is a form of McKay correspondence in terms of stringy invariants that is generalized to arbitrary characteristics. It gives rise to an interesting connection between the geometry of wild quotient varieties and arithmetic on extensions of local fields. The principal purpose of this article is to collect open problems on the wild McKay correspondence, as well as those in related fields that the author believes are interesting or important. It also serves as a survey on the present state of these fields.

Information

Published: 1 January 2023
First available in Project Euclid: 8 May 2023

Digital Object Identifier: 10.2969/aspm/08810279

Subjects:
Primary: 14E16
Secondary: 11R45 , 11S15 , 14D23 , 14E18 , 14E30 , 14G05

Keywords: Crepant resolutions , log terminal singularities , moduli spaces , stringy motives , the wild McKay correspondence

Rights: Copyright © 2023 Mathematical Society of Japan

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