Exceptional Sequences of Invertible Sheaves on Rational Surfaces
Algebraic Geometry
2019-02-20 v2 High Energy Physics - Theory
Abstract
In this article we consider exceptional sequences of invertible sheaves on smooth complete rational surfaces. We show that to every such sequence one can associate a smooth complete toric surface in a canonical way. We use this structural result to prove various theorems on exceptional and strongly exceptional sequences of invertible sheaves on rational surfaces. We construct full strongly exceptional sequences for a large class of rational surfaces. For the case of toric surfaces we give a complete classification of full strongly exceptional sequences of invertible sheaves.
Cite
@article{arxiv.0810.1936,
title = {Exceptional Sequences of Invertible Sheaves on Rational Surfaces},
author = {Lutz Hille and Markus Perling},
journal= {arXiv preprint arXiv:0810.1936},
year = {2019}
}
Comments
40 pages, 5 figures, requires packages ams*, enumerate, xy, geometry, minor changes