Exceptional collections on isotropic Grassmannians
Algebraic Geometry
2018-09-05 v2 Representation Theory
Abstract
We introduce a new construction of exceptional objects in the derived category of coherent sheaves on a compact homogeneous space of a semisimple algebraic group and show that it produces exceptional collections of the length equal to the rank of the Grothendieck group on homogeneous spaces of all classical groups.
Cite
@article{arxiv.1110.5607,
title = {Exceptional collections on isotropic Grassmannians},
author = {Alexander Kuznetsov and Alexander Polishchuk},
journal= {arXiv preprint arXiv:1110.5607},
year = {2018}
}
Comments
v1: 51 page; v2: 55 pages, to appear in JEMS