Lutz Hille, Markus Perling
Published 2008-10-10, updated 2009-08-21Version 2
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.
Comments: 40 pages, 5 figures, requires packages ams*, enumerate, xy, geometry, minor changes
Journal: Comp. Math. 147(4), 1230-1280, 2011
Examples for exceptional sequences of invertible sheaves on rational surfaces
Projective Superspaces in Practice
The geometry of $Π$-invertible sheaves
![QR code for arXiv:0810.1936 [math.AG]](http://oss.arxitics.com/images/favicon.svg)