Character sheaves in characteristic $p$ have nilpotent singular support
Representation Theory
2024-05-17 v3 Algebraic Geometry
Abstract
We prove that character sheaves have nilpotent singular support in any characteristic, partially extending the work of Mirkovic, Vilonen and independently Ginzburg to positive characteristic. We do this by introducing a category of tame perverse sheaves and studying its properties.
Keywords
Cite
@article{arxiv.2211.11126,
title = {Character sheaves in characteristic $p$ have nilpotent singular support},
author = {Kostas I. Psaromiligkos},
journal= {arXiv preprint arXiv:2211.11126},
year = {2024}
}
Comments
9 pages; Added review of singular support; removed lemmas not used in main theorem