Exceptional collections of line bundles on projective homogeneous varieties
Algebraic Geometry
2014-06-17 v1 K-Theory and Homology
Abstract
We construct new examples of exceptional collections of line bundles on the variety of Borel subgroups of a split semisimple linear algebraic group G of rank 2 over a field. We exhibit exceptional collections of the expected length for types A_2 and B_2=C_2 and prove that no such collection exists for type G_2. This settles the question of the existence of full exceptional collections of line bundles on projective homogeneous G-varieties for split linear algebraic groups G of rank at most 2.
Keywords
Cite
@article{arxiv.1207.3334,
title = {Exceptional collections of line bundles on projective homogeneous varieties},
author = {Alexey Ananyevskiy and Asher Auel and Skip Garibaldi and Kirill Zainoulline},
journal= {arXiv preprint arXiv:1207.3334},
year = {2014}
}
Comments
20 pages, comments welcome