English

On the derived category of the Cayley plane II

Algebraic Geometry 2012-01-31 v1

Abstract

We find a full strongly exceptional collection for the Cayley plane OP2, the simplest rational homogeneous space of the exceptional group E6. This collection, closely related to the one given by the second author in [J. Algebra, 330:177-187, 2011], consists of 27 vector bundles which are homogeneous for the group E6, and is a Lefschetz collection with respect to the minimal equivariant embedding of OP2.

Keywords

Cite

@article{arxiv.1201.6327,
  title  = {On the derived category of the Cayley plane II},
  author = {Daniele Faenzi and Laurent Manivel},
  journal= {arXiv preprint arXiv:1201.6327},
  year   = {2012}
}

Comments

13 pages