English

Derived categories of Fano threefolds

Algebraic Geometry 2008-09-02 v1

Abstract

We consider the structure of the derived categories of coherent sheaves on Fano threefolds with Picard number 1 and describe a strange relation between derived categories of different threefolds. In the Appendix we discuss how the ring of algebraic cycles of a smooth projective variety is related to the Grothendieck group of its derived category.

Keywords

Cite

@article{arxiv.0809.0225,
  title  = {Derived categories of Fano threefolds},
  author = {Alexander Kuznetsov},
  journal= {arXiv preprint arXiv:0809.0225},
  year   = {2008}
}

Comments

12 pages

R2 v1 2026-06-21T11:15:39.055Z