Skip to main content
Article thumbnail
Location of Repository

Pfaffian lines and vector bundles on Fano threefolds of genus 8

By A. Iliev and L. Manivel


Abstract. 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 c1 = 1, c2 = 6 and c3 = 0 is isomorphic to the Fano surface F(X) of conics on X. This surface is smooth and isomorphic to the Fano surface of lines in the orthogonal to X cubic threefold. 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. hal-00330597, version 1- 15 Oct 2008 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • http://hal.archives-ouvertes.f... (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.