p-torsion Brauer classes in positive characteristic

Abstract: In this talk, we will study p-torsion Brauer classes arising from differential forms in characteristic p. We will then explain how such classes contribute to the Brauer–Manin obstruction. As an application, we determine the Brauer–Manin set of varieties that possess “many differential forms,” and we obtain new results on the Brauer–Manin set of supersingular K3 surfaces.

number theory

Audience: researchers in the topic

London number theory seminar

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