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SUMMARY:Zheng Zhang (ShanghaiTech)
DTSTART:20210713T100000Z
DTEND:20210713T110000Z
DTSTAMP:20260423T021335Z
UID:ZAG/137
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/137/">Th
 e moduli space of cubic surface pairs via the intermediate Jacobians of Ec
 kardt cubic threefolds</a>\nby Zheng Zhang (ShanghaiTech) as part of ZAG (
 Zoom Algebraic Geometry) seminar\n\n\nAbstract\nWe study the moduli space 
 of pairs consisting of a smooth cubic surface and a transverse plane via a
  period map. More specifically\, the construction associates to a cubic su
 rface pair a so-called Eckardt cubic threefold which admits an involution\
 , and the period map sends the pair to the anti-invariant part of the inte
 rmediate Jacobian. Our main result is that the global Torelli theorem hold
 s for the period map (in other words\, the period map is injective). The k
 ey ingredients of the proof include a description of the anti-invariant pa
 rt of the intermediate Jacobian as a Prym variety of a branched cover and 
 a detailed study of certain positive dimensional fibers of the correspondi
 ng Prym map. This is joint work with S. Casalaina-Martin.\n
LOCATION:https://researchseminars.org/talk/ZAG/137/
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