On the derived category of the Cayley plane II

2012/01/30 by Daniele Faenzi, Faenzi, Daniele, Laurent Manivel +1 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1201.6327

13 pages

arxiv created 2012/01/30 · arxiv updated 2012/01/31

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.

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