ON THE DERIVED CATEGORY OF THE CAYLEY PLANE II
Affiliation auteurs | Affiliation ok |
Titre | ON THE DERIVED CATEGORY OF THE CAYLEY PLANE II |
Type de publication | Journal Article |
Year of Publication | 2015 |
Auteurs | Faenzi D, Manivel L |
Journal | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
Volume | 143 |
Pagination | PII S0002-9939(2014)12312-4 |
Date Published | MAR |
Type of Article | Article |
ISSN | 0002-9939 |
Mots-clés | Cayley 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. |
DOI | 10.1090/S0002-9939-2014-12312-4 |