Article ID Journal Published Year Pages File Type
4584494 Journal of Algebra 2015 34 Pages PDF
Abstract

A del Pezzo threefold F   with maximal Picard number is isomorphic to P1×P1×P1P1×P1×P1. In the present paper we completely classify locally free sheaves EE of rank 2 such that hi(F,E(t))=0hi(F,E(t))=0 for i=1,2i=1,2 and t∈Zt∈Z. Such a classification extends similar results proved by E. Arrondo and L. Costa regarding del Pezzo threefolds with Picard number 1.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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