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SUMMARY:Alexei Skorobogatov (Imperial)
DTSTART;VALUE=DATE-TIME:20211203T100000Z
DTEND;VALUE=DATE-TIME:20211203T110000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065500Z
UID:HannoverNTAGS/1
DESCRIPTION:Title: Enriques quotients of K3 surfaces and associated Brauer classes\
nby Alexei Skorobogatov (Imperial) as part of Hannover Number Theory and A
rithmetic Geometry Seminar\n\n\nAbstract\nThis is a joint work in progress
with Domenico Valloni. Let X be a complex K3 surface with an Enriques quo
tient S. It is known that the Brauer group of S has a unique non-zero elem
ent. Beauville gave a criterion for the natural map from Br(S) to Br(X) to
be injective. Extending a result of Keum\, who proved that every Kummer s
urface has an Enriques quotient\, we show for an arbitrary Kummer surface
X that every element of Br(X) of order 2 comes from an Enriques quotient o
f X. Work of Ohashi implies that in some `generic' cases this gives a bije
ction between the set of elements of order 2 in Br(X) and the set of Enriq
ues quotients of X.\n
LOCATION:https://researchseminars.org/talk/HannoverNTAGS/1/
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