Exceptional collections in surface-like categories
arXiv:1703.07812 · doi:10.1070/SM8917
Abstract
We provide a categorical framework for recent results of Markus Perling on combinatorics of exceptional collections on numerically rational surfaces. Using it we simplify and generalize some of Perling's results as well as Vial's criterion for existence of a numerical exceptional collection.
23 pages; v2: some references added, the relation to the approach of [dTVdB] discussed