On the derived category of the Cayley plane II

Daniele Faenzi (LMAP); Laurent Manivel (IF)

arxiv: 1201.6327 · v1 · pith:2ARZKINInew · submitted 2012-01-30 · 🧮 math.AG

On the derived category of the Cayley plane II

Daniele Faenzi (LMAP) , Laurent Manivel (IF) This is my paper

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keywords collectioncayleyexceptionalgrouphomogeneousplanealgebraauthor

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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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On the derived category of the Cayley plane II

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