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SUMMARY:Lena Ji (Princeton/Michigan)
DTSTART;VALUE=DATE-TIME:20210611T190000Z
DTEND;VALUE=DATE-TIME:20210611T200000Z
DTSTAMP;VALUE=DATE-TIME:20211209T075923Z
UID:agstanford/53
DESCRIPTION:Title: The Noether–Lefschetz theorem\nby Lena Ji (Princeton/Michigan) a
s part of Stanford algebraic geometry seminar\n\n\nAbstract\nThe classical
Noether–Lefschetz theorem says that for a very general surface $S$ of d
egree $ \\geq 4$ in $\\mathbf{P}^3$ over the complex numbers\, the restric
tion map from the divisor class group on $\\mathbf{P}^3$ to $S$ is an isom
orphism. In this talk\, we give an elementary proof of Noether–Lefschetz
. We do not use any Hodge theory\, cohomology\, or monodromy. This argumen
t has the additional advantage that it works over fields of arbitrary char
acteristic and for singular varieties (for Weil divisors).\n\nThe synchron
ous discussion for Lena Ji’s talk is taking place not in zoom-chat\, but
at https://tinyurl.com/2021-06-11-lj (and will be deleted after ~3-7 day
s).\n
LOCATION:https://researchseminars.org/talk/agstanford/53/
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