English

How to glue parity sheaves

Algebraic Geometry 2020-05-04 v2 Representation Theory

Abstract

Let X be a stratified space on which the Juteau-Mautner-Williamson theory of parity sheaves is available. We develop a "nearby cycles formalism" in the framework of the homotopy category of parity sheaves on X, also known as the mixed modular derived category of X. This construction is expected to have applications in modular geometric representation theory.

Keywords

Cite

@article{arxiv.1812.07920,
  title  = {How to glue parity sheaves},
  author = {Pramod N. Achar},
  journal= {arXiv preprint arXiv:1812.07920},
  year   = {2020}
}

Comments

38 pages. v2: minor corrections and clarifications

R2 v1 2026-06-23T06:47:42.687Z