Linear Koszul Duality
Representation Theory
2019-02-20 v2
Abstract
In this paper we construct, for F_1 and F_2 subbundles of a vector bundle E, a "Koszul duality" equivalence between derived categories of G_m-equivariant coherent (dg-)sheaves on the derived intersection of F_1 and F_2 inside E, and the corresponding derived intersection of the orthogonals of F_1 and F_2 inside the dual vector bundle E^*. We also propose applications to Hecke algebras.
Keywords
Cite
@article{arxiv.0804.0923,
title = {Linear Koszul Duality},
author = {Ivan Mirković and Simon Riche},
journal= {arXiv preprint arXiv:0804.0923},
year = {2019}
}
Comments
26 pages, final version, to appear in Compositio Mathematica