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SUMMARY:Counter-examples of high Clifford index to Prym-Torelli - Izadi\, 
 E (Georgia)
DTSTART:20110208T113000Z
DTEND:20110208T123000Z
UID:TALK29767@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:For an 'etale double cover of smooth curves\, the Prym variety
  is essentially the ``difference'' between the jacobians of the two curves
 . The Torelli problem for the Prym map asks when two double covers have th
 e same Prym variety. It is known that the Prym map from the moduli space o
 f double covers of curves of genus g at least 7 to principally polarized a
 belian varieties of dimension g-1 is generically injective. Counter-exampl
 es to the injectivity of the Prym map were\, up to now\, given by Donagi's
  tetragonal construction and by Verra's construction for plane sextics. It
  was conjectured that all counter-examples are obtained from double covers
  of curves of Clifford index at most 3. I will discuss counter-examples to
  this conjecture constructed by myself and Herbert Lange.\n
LOCATION:Seminar Room 1\, Newton Institute
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