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VOL. 74 | 2017 Toward motivic integration over wild Deligne-Mumford stacks
Takehiko Yasuda

Editor(s) Keiji Oguiso, Caucher Birkar, Shihoko Ishii, Shigeharu Takayama

Abstract

We discuss how the motivic integration will be generalized to wild Deligne-Mumford stacks, that is, stabilizers may have order divisible by the characteristic of the base or residue field. We pose several conjectures on this topic. We also present some possible applications concerning stringy invariants, resolution of singularities, and weighted counts of extensions of local fields.

Information

Published: 1 January 2017
First available in Project Euclid: 23 October 2018

zbMATH: 1388.14053
MathSciNet: MR3791224

Digital Object Identifier: 10.2969/aspm/07410407

Rights: Copyright © 2017 Mathematical Society of Japan

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