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SUMMARY:Relative Prym varieties associated to K3 surfaces with an involuti
 on
DTSTART:20231123T093000Z
DTEND:20231123T113000Z
DTSTAMP:20260423T083000Z
UID:indico-event-10862@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sasha Viktorova (KU Leuven)\n\nIn this talk we will 
 discuss irreducible holomorphic symplectic manifolds and their singular an
 alogues\, irreducible symplectic varieties (ISVs). Our main goal will be t
 o construct examples of ISVs following the strategy outlined in an article
  by Markushevich and Tikhomirov. We start by fixing a K3 surface S with an
  antisymplectic involution i. For a choice of a smooth ample curve C on th
 e quotient S/i\, one can construct the corresponding compactified relative
  Prym variety. By the work of Arbarello\, Saccà and Ferretti\, we know th
 at under certain assumptions if S/i is an Enriques surface\, then P is an 
 ISV. Inspired by their result\, we investigate the situation when S/i is a
  rational surface and find sufficient conditions to ensure that P is an IS
 V. This is a joint work in progress with E. Brakkee\, C. Camere\, A. Gross
 i\, L. Pertusi and G. Saccà.\n\nhttps://indico.math.cnrs.fr/event/10862/
URL:https://indico.math.cnrs.fr/event/10862/
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