On the exotic t-structure in positive characteristic
Representation Theory
2015-06-19 v3
Abstract
In this paper we study Bezrukavnikov's exotic t-structure on the derived category of equivariant coherent sheaves on the Springer resolution of a connected reductive algebraic group defined over a field of positive characteristic with simply-connected derived subgroup. In particular, we show that the heart of the exotic t-structure is a graded highest weight category, and we study the tilting objects in this heart. Our main tool is the "geometric braid group action" studied by Bezrukavnikov and the second author.
Cite
@article{arxiv.1412.6818,
title = {On the exotic t-structure in positive characteristic},
author = {Carl Mautner and Simon Riche},
journal= {arXiv preprint arXiv:1412.6818},
year = {2015}
}
Comments
v1: 34 pages; v2: some references added; v3: minor corrections