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Award ID contains: 1902274

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  1. (, Journal de Mathématiques Pures et Appliquées)
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  2. ; ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract Given a smooth projective variety over a number field and an elementof its Brauer group, we consider the specialization of the Brauerclass at a place of good reduction for the variety and the class. Weare interested in the case of K3 surfaces.We show that a Brauer class on a very general polarized K3 surfaceover a number field becomes trivial after specialization at a set ofplaces of positive natural density. We deduce that there exist cubic fourfolds over number fields that are conjecturally irrational, with rational reduction at a positive proportion of places. We also deduce that there are twisted derivedequivalent K3 surfaces which become derived equivalent after reductionat a positive proportion of places. 
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  3. ; ; (, Algebra & Number Theory)
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  4. ; ; (, IEEE Transactions on Information Theory)
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  5. (, Notices of the American Mathematical Society)
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  6. ; ; ; (, Proceedings of the London Mathematical Society)
    null (Ed.)
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