Nearby cycles for parity sheaves on a divisor with simple normal crossings
Algebraic Geometry
2019-07-19 v2 Representation Theory
Abstract
The first author recently introduced a "nearby cycles formalism" in the framework of chain complexes of parity sheaves. In this paper, we compute this functor in two related settings: (i) affine space, stratified by the action of a torus, and (ii) the global Schubert variety associated to the first fundamental coweight of the group . The latter is a parity-sheaf analogue of Gaitsgory's central sheaf construction.
Cite
@article{arxiv.1812.07924,
title = {Nearby cycles for parity sheaves on a divisor with simple normal crossings},
author = {Pramod N. Achar and Laura Rider},
journal= {arXiv preprint arXiv:1812.07924},
year = {2019}
}
Comments
31 pages. v2: minor corrections