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arXiv · 2108.01849

Pontryagin duality for varieties over $p$-adic fields

Thomas H. Geisser·Baptiste Morin
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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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Thomas H. Geisser, Baptiste Morin. 2021-08-04. Pontryagin duality for varieties over $p$-adic fields. https://arxiv.org/abs/2108.01849

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