Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584494 | Journal of Algebra | 2015 | 34 Pages |
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
Authors
Gianfranco Casnati, Daniele Faenzi, Francesco Malaspina,