Pontryagin duality for varieties over $p$-adic fields

Published 4 Aug 2021 in math.AG | (2108.01849v2)

Abstract: We define cohomological complexes of locally compact abelian groups associated with varieties over $p$-adic fields and prove a duality theorem under some assumption. Our duality takes the form of Pontryagin duality between locally compact motivic cohomology groups.

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