Pontryagin duality for varieties over p-adic fields

2021/08/04 by Geisser, Thomas H., Morin, Baptiste
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.01849

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.

Related

• p-adic cohomology
• Local duality theorems for commutative algebraic groups
• Duality for the condensed Weil-étale realisation of 1-motives over p-adic fields
• Duality for complexes of tori over a global field of positive\n characteristic
• Weil-étale Cohomology over p-adic Fields