Class field theory for curves over local fields
Algebraic Geometry
2023-07-31 v1
Abstract
We establish a ramified class field theory for smooth projective curves over local fields. As key steps in the proof, we obtain new results in the class field theory for 2-dimensional local fields of positive characteristic, and prove a duality theorem for the logarithmic Hodge-Witt cohomology on affine curves over local fields.
Cite
@article{arxiv.2307.15416,
title = {Class field theory for curves over local fields},
author = {Amalendu Krishna and Subhadip Majumder},
journal= {arXiv preprint arXiv:2307.15416},
year = {2023}
}
Comments
46 pages