On the derived category of Grassmannians in arbitrary characteristic
Representation Theory
2015-07-29 v5 Algebraic Geometry
Abstract
In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-known characteristic-zero results we construct dual exceptional collections on them (which are however not strong) as well as a tilting bundle. We show that this tilting bundle has a quasi-hereditary endomorphism ring and we identify the standard, costandard, projective and simple modules of the latter.
Keywords
Cite
@article{arxiv.1006.1633,
title = {On the derived category of Grassmannians in arbitrary characteristic},
author = {Ragnar-Olaf Buchweitz and Graham J. Leuschke and Michel Van den Bergh},
journal= {arXiv preprint arXiv:1006.1633},
year = {2015}
}
Comments
22 pages, revisions as suggested by the referees