Exceptional collections on isotropic Grassmannians

Kuznetsov, Alexander, and Polishchuk, Alexander. "Exceptional collections on isotropic Grassmannians." Journal of the European Mathematical Society 018.3 (2016): 507-574. <http://eudml.org/doc/277658>.

@article{Kuznetsov2016,
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.},
author = {Kuznetsov, Alexander, Polishchuk, Alexander},
journal = {Journal of the European Mathematical Society},
keywords = {exceptional collection; derived category of sheaves; isotropic Grassmannian; exceptional collection; derived category of sheaves; isotropic Grassmannian},
language = {eng},
number = {3},
pages = {507-574},
publisher = {European Mathematical Society Publishing House},
title = {Exceptional collections on isotropic Grassmannians},
url = {http://eudml.org/doc/277658},
volume = {018},
year = {2016},
}

TY - JOUR
AU - Kuznetsov, Alexander
AU - Polishchuk, Alexander
TI - Exceptional collections on isotropic Grassmannians
JO - Journal of the European Mathematical Society
PY - 2016
PB - European Mathematical Society Publishing House
VL - 018
IS - 3
SP - 507
EP - 574
AB - 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.
LA - eng
KW - exceptional collection; derived category of sheaves; isotropic Grassmannian; exceptional collection; derived category of sheaves; isotropic Grassmannian
UR - http://eudml.org/doc/277658
ER -