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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:K3 surfaces of genus 17 - Mukai\, S (Kyoto)
DTSTART;TZID=Europe/London:20110412T150000
DTEND;TZID=Europe/London:20110412T160000
UID:TALK30706AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/30706
DESCRIPTION:The moduli space M=M(2\, h\, 8) of semi-rigid vect
 or bundles on a (polarized) K3 surface (S\, h) of 
 genus 17 is a K3 surface of genus 5. Moreover\, th
 e universal family gives an equivalence between th
 e derived category of S and a twisted derived cate
 gory of M. This equivalence induces us a rational 
 map from S to the non-abelian Brill-Noether locus 
 SU(2\, K\; 5F) of type II (see alg-geom/9704015) i
 n the moduli space of 2-bundles on a curve of genu
 s 5. We show that this map is an isomorphism when 
 the modulus 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
CONTACT:Mustapha Amrani
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