Rank two aCM bundles on the del Pezzo fourfold of degree 6 and its general hyperplane section

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TitreRank two aCM bundles on the del Pezzo fourfold of degree 6 and its general hyperplane section
Type de publicationJournal Article
Year of Publication2018
AuteursCasnati G, Faenzi D, Malaspina F
JournalJOURNAL OF PURE AND APPLIED ALGEBRA
Volume222
Pagination585-609
Date PublishedMAR
Type of ArticleArticle
ISSN0022-4049
Résumé

In the present paper we completely classify locally free sheaves of rank 2 with vanishing intermediate cohomology modules on the image of the Segre embedding P-2 x P-2 subset of P-8 and its general hyperplane sections. Such a classification extends similar already known results regarding del Pezzo varieties with Picard numbers 1 and 3 and dimension at least 3. (C) 2017 Elsevier B.V. All rights reserved.

DOI10.1016/j.jpaa.2017.04.021