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SUMMARY:Raymond Cheng (Columbia)
DTSTART;VALUE=DATE-TIME:20210716T190000Z
DTEND;VALUE=DATE-TIME:20210716T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T073107Z
UID:agstanford/55
DESCRIPTION:Title: $q$-bic Hypersurfaces\nby Raymond Cheng (Columbia) as part of Stan
ford algebraic geometry seminar\n\n\nAbstract\nLetâ€™s count: 1\, $q$\, $q
+1$\; here\, $q$ is a power of a prime $p$. In this talk\, I will sketch a
n analogy between the geometry of a class of hypersurfaces over a field of
positive characteristic $p$\, which I call $q$-bic hypersurfaces\, and th
e geometry of low degree hypersurfaces\, such as quadrics and cubics\, ove
r the complex numbers. For instance\, a smooth $q$-bic threefold has a smo
oth Fano surface of lines\, and the intermediate Jacobian of the threefold
is isogenous to the Albanese of the Fano surface.\n
LOCATION:https://researchseminars.org/talk/agstanford/55/
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