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PONTRYAGIN DUALITY FOR VARIETIES OVER p-ADIC FIELDS

Part of: Arithmetic algebraic geometry (Co)homology theory

Published online by Cambridge University Press:  28 September 2022

Thomas H. Geisser Open the ORCID record for Thomas H. Geisser [Opens in a new window]  and
Baptiste Morin
Thomas H. Geisser*
Affiliation:
Department of Mathematics, Rikkyo University, Toshima, 171-8501, Tokyo, Japan
Baptiste Morin
Affiliation:
Department of Mathematics, Université de Bordeaux, 351, Cours de la Libération, F 33405 Talence Cedex, Bordeaux, France (Baptiste.Morin@math.u-bordeaux.fr)
*
geisser@rikkyo.ac.jp
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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.

Keywords

motivic cohomologydualitylocal fields

MSC classification

Primary: 14F42: Motivic cohomology; motivic homotopy theory
Secondary: 11G25: Varieties over finite and local fields
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 23 , Issue 1 , January 2024 , pp. 425 - 462
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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