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SUMMARY:Fumiaki Suzuki (UCLA Mathematics)
DTSTART:20210610T160000Z
DTEND:20210610T170000Z
DTSTAMP:20260423T021449Z
UID:ZAG/128
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/128/">An
  O-acyclic variety of even index</a>\nby Fumiaki Suzuki (UCLA Mathematics)
  as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nI will co
 nstruct a family of Enriques surfaces parametrized by P^1 such that any mu
 lti-section has even degree over the base P^1. Over the function field of 
 a complex curve\, this gives the first example of an O-acyclic variety (H^
 i(X\,O)=0 for i>0) whose index is not equal to one\, and an affirmative an
 swer to a question of Colliot-Thélène and Voisin. I will also discuss ap
 plications to related problems\, including the integral Hodge conjecture a
 nd Murre’s question on universality of the Abel-Jacobi maps. This is joi
 nt work with John Christian Ottem.\n
LOCATION:https://researchseminars.org/talk/ZAG/128/
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