On the derived category of the Cayley plane

Laurent Manivel (1)

1 IF - Institut Fourier

We describe a maximal exceptional collection on the Cayley plane, the minimal homogeneous projective variety of $E_6$. This collection consists in a sequence of 27 irreducible homogeneous bundles.

Mots clés: homogeneous bundle; exceptional bundle; derived category; rational homogeneous variety; Cayley plane; homogeneous bundle

Domaines: Géométrie algébrique [math.AG]

Laurent Manivel. On the derived category of the Cayley plane. Journal of Algebra, 2011, 330 (1), pp.177-187. ⟨hal-00404302⟩