Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
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DioG Program Research Seminar: Reduction Of Brauer Classes On K3 Surfaces, With Applications To Rationality Problems
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Given a K3 surface X over a number field k, and a Brauer class A on X, what can we say about the set of primes good reduction of X at which A vanishes? We show that this set contains a set of positive natural density when X is a very general K3 surface. If X is special, this set can have density 0 (although it is often infinite, by recent work of Maulik and Tayou). We use this result to show there exist conjecturally irrational cubic fourfolds that have rational mod p specializations at a set of primes of positive natural density. This is joint work with Sarah Frei and Brendan Hassett.
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