Rank two aCM bundles on the del Pezzo threefold with Picard number 3

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TitreRank two aCM bundles on the del Pezzo threefold with Picard number 3
Type de publicationJournal Article
Year of Publication2015
AuteursCasnati G, Faenzi D, Malaspina F
JournalJOURNAL OF ALGEBRA
Volume429
Pagination413-446
Date PublishedMAY 1
Type of ArticleArticle
ISSN0021-8693
Mots-clésaCM vector bundle, del Pezzo threefold
Résumé

A del Pezzo threefold F with maximal Picard number is isomorphic to P-1 x P-1 x P-1. In the present paper we completely classify locally free sheaves of rank 2 such that h(i)(F, epsilon(t)) = 0 for i = 1,2 and t is an element of Z. Such a classification extends similar results proved by E. Arrondo and L. Costa regarding del Pezzo threefolds with Picard number 1. (C) 2015 Elsevier Inc. All rights reserved.

DOI10.1016/j.jalgebra.2015.02.008