Toward motivic integration over wild Deligne-Mumford stacks
Algebraic Geometry
2024-02-27 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.1302.2982,
title = {Toward motivic integration over wild Deligne-Mumford stacks},
author = {Takehiko Yasuda},
journal= {arXiv preprint arXiv:1302.2982},
year = {2024}
}
Comments
24 pages; minor corrections, added footnotes to mention subsequent developments, to appear in the proceedings of the conference "Higher Dimensional Algebraic Geometry - in honour of Professor Yujiro Kawamata's sixtieth birthday" (ASPM)