ON THE DERIVED CATEGORY OF THE CAYLEY PLANE II

Affiliation auteursAffiliation ok
TitreON THE DERIVED CATEGORY OF THE CAYLEY PLANE II
Type de publicationJournal Article
Year of Publication2015
AuteursFaenzi D, Manivel L
JournalPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume143
PaginationPII S0002-9939(2014)12312-4
Date PublishedMAR
Type of ArticleArticle
ISSN0002-9939
Mots-clésCayley plane, derived category, full strongly exceptional collection
Résumé

We find a full strongly exceptional collection for the Cayley plane OP2, the simplest rational homogeneous space of the exceptional group E-6. This collection, closely related to the one given by the second author in 2011, consists of 27 vector bundles which are homogeneous for the group E-6, and is a minimal Lefschetz collection with respect to the minimal equivariant embedding of OP2.

DOI10.1090/S0002-9939-2014-12312-4