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arXiv · 2307.15416

Class field theory for curves over local fields

Amalendu Krishna·Subhadip Majumder
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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.

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Amalendu Krishna, Subhadip Majumder. 2023-07-28. Class field theory for curves over local fields. https://arxiv.org/abs/2307.15416

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