Wilder McKay correspondences
Abstract
A conjectural generalization of the McKay correspondence in terms of stringy invariants to arbitrary characteristic, including the wild case, was recently formulated by the author in the case where the given finite group linearly acts on an affine space. In cases of very special groups and representations, the conjecture has been verified and related stringy invariants have been explicitly computed. In this paper, we try to generalize the conjecture and computations to more complicated situations such as non-linear actions on possibly singular spaces and non-permutation representations of non-abelian groups.
Cite
@article{arxiv.1404.3373,
title = {Wilder McKay correspondences},
author = {Takehiko Yasuda},
journal= {arXiv preprint arXiv:1404.3373},
year = {2024}
}
Comments
42 pages. The title has been changed from the previous "The motivic McKay correspondence for non-linear actions on possibly singular spaces". A new added subject is computations of weight functions and masses for some non-permutation representations. Comments are welcome