Pfaffian Lines and Vector Bundles on Fano Threefolds of Genus 8

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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.
25 pages, LaTeX; to appear in J.Alg.Geom

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Algebraic Geometry, 14J30; 14F05

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http://salesiana.dossiersoluciones.com/handle/123456789/101240

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504595
 http://arxiv.org/abs/math/0504595

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arXiv