English

Kleinian singularities, derived categories and Hall algebras

Algebraic Geometry 2007-05-23 v2

Abstract

We describe the derived category of coherent sheaves on the minimal resolution of the Kleinian singularity associated to a finite subgroup G of SL(2). Then, we give an application to the Euler-characteristic version of the Hall algebra of the category of coherent sheaves on an algebraic surface.

Keywords

Cite

@article{arxiv.math/9812016,
  title  = {Kleinian singularities, derived categories and Hall algebras},
  author = {M. Kapranov and E. Vasserot},
  journal= {arXiv preprint arXiv:math/9812016},
  year   = {2007}
}

Comments

12 pages, TeX