English

Exceptional collections in surface-like categories

Algebraic Geometry 2018-09-05 v2

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.

Keywords

Cite

@article{arxiv.1703.07812,
  title  = {Exceptional collections in surface-like categories},
  author = {Alexander Kuznetsov},
  journal= {arXiv preprint arXiv:1703.07812},
  year   = {2018}
}

Comments

23 pages; v2: some references added, the relation to the approach of [dTVdB] discussed

R2 v1 2026-06-22T18:54:09.699Z