Ramification theory for reciprocity sheaves, III, Abbes-Saito formula
Algebraic Geometry
2022-04-25 v1
Abstract
We give a new geometric characterization of the motivic ramification filtration of reciprocity sheaves, by imitating a method used by Abbes and (Takeshi) Saito to study the ramification of torsors under finite \'etale groups. This new characterization is used to define characteristic forms for reciprocity sheaves. We obtain applications on pseudo-rational singularities and on questions regarding the representability of certain cohomology groups of reciprocity sheaves in the triangulated category of motives with modulus introduced by Kahn-Miyazaki-Saito-Yamazaki.
Keywords
Cite
@article{arxiv.2204.10637,
title = {Ramification theory for reciprocity sheaves, III, Abbes-Saito formula},
author = {Kay Rülling and Shuji Saito},
journal= {arXiv preprint arXiv:2204.10637},
year = {2022}
}