Moduli spaces of rank two aCM bundles on the Segre product of three projective lines

2014/04/04 by Gianfranco Casnati, Casnati, Gianfranco, Daniele Faenzi +3 · 1 citation
Mathematics · #14D20 #14J45 #14J60 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:14D20 #msc:14J45 #msc:14J60

paper · pdf · doi:10.48550/arxiv.1404.1188

22 pages. Exposition improved

arxiv created 2014/12/09 · arxiv updated 2014/12/10

Abstract

Let Pⁿ be the projective space of dimension n on an algebraically closed field of characteristic 0 and F be the image of the Segre embedding of P¹xP¹xP¹ inside P⁷. In the present paper we deal with the moduli spaces of locally free sheaves E on F of rank 2 with hⁱ(F,E(t))=0 for i=1,2 and each integer t.

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