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SUMMARY:K3 surfaces of genus 17 - Mukai\, S (Kyoto)
DTSTART:20110412T140000Z
DTEND:20110412T150000Z
UID:TALK30706@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The moduli space M=M(2\, h\, 8) of semi-rigid vector bundles o
 n a (polarized) K3 surface (S\, h) of genus 17 is a K3 surface of genus 5.
  Moreover\, the universal family gives an equivalence between the derived 
 category of S and a twisted derived category of M. This equivalence induce
 s us a rational map from S to the non-abelian Brill-Noether locus SU(2\, K
 \; 5F) of type II (see alg-geom/9704015) in the moduli space of 2-bundles 
 on a curve of genus 5. We show that this map is an isomorphism when the mo
 dulus of (S\, h) is general\, using Thaddeus' formula. As a corollary the 
 moduli space F17 of (S\, h)s is unirational.\n
LOCATION:Seminar Room 1\, Newton Institute
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