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arXiv:math/0504595 [math.AG]AbstractReferencesReviewsResources

Pfaffian Lines and Vector Bundles on Fano Threefolds of Genus 8

Atanas Iliev, Laurent Manivel

Published 2005-04-29, updated 2005-12-09Version 2

Let X be a general complex Fano threefold of genus 8. We prove that the moduli space of rank two semistable sheaves on X with Chern numbers c_1=1, c_2=6 and c_3=0 is isomorphic to the Fano surface F(X) of conics on X. Inside F(X), the non-locally free sheaves are parameterized by a smooth curve of genus 26 isomorphic to the base of the family of lines on X.

Comments: 25 pages, LaTeX; to appear in J.Alg.Geom
Categories: math.AG
Subjects: 14J30, 14F05
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