Artin-Mazur-Milne duality for fppf cohomology

Published 11 Apr 2018 in math.NT and math.AG | (1804.03941v3)

Abstract: We provide a complete proof of a duality theorem for the fppf cohomology of either a curve over a finite field or a ring of integers of a number field, which extends the classical Artin-Verdier Theorem in \'etale cohomology. We also prove some finiteness and vanishing statements.

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