On the derived category of the Cayley plane

2009/07/16 by Laurent Manivel, Manivel, Laurent
Mathematics · #14F05 #14M17 #18E30 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14F05 #msc:14M17 #msc:18E30

paper · pdf · doi:10.48550/arxiv.0907.2784

arxiv created 2009/07/16 · arxiv updated 2009/12/01

Abstract

We describe a maximal exceptional collection on the Cayley plane, the minimal homogeneous projective variety of E₆. This collection consists in a sequence of 27 irreducible homogeneous bundles.

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