Pontryagin duality for varieties over $p$-adic fields
Algebraic Geometry
2021-12-23 v2
Abstract
We define cohomological complexes of locally compact abelian groups associated with varieties over -adic fields and prove a duality theorem under some assumption. Our duality takes the form of Pontryagin duality between locally compact motivic cohomology groups.
Cite
@article{arxiv.2108.01849,
title = {Pontryagin duality for varieties over $p$-adic fields},
author = {Thomas H. Geisser and Baptiste Morin},
journal= {arXiv preprint arXiv:2108.01849},
year = {2021}
}
Comments
New definition of cohomology of strict normal crossing schemes (section 3), and cohomology of schemes with such reduction (section 4.3). Improved exposition in several places