Abstract
We generalize Deligne’s approach to tame geometric class field theory to the case of a relative curve, with arbitrary ramification.
Citation
Quentin Guignard. "On the ramified class field theory of relative curves." Algebra Number Theory 13 (6) 1299 - 1326, 2019. https://doi.org/10.2140/ant.2019.13.1299
Information
Received: 21 May 2018; Revised: 26 February 2019; Accepted: 11 April 2019; Published: 2019
First available in Project Euclid: 21 August 2019
zbMATH: 07103975
MathSciNet: MR3994566
Digital Object Identifier: 10.2140/ant.2019.13.1299
Subjects:
Primary:
11G45
Keywords:
geometric class field theory
,
global class field theory
,
ramification
Rights: Copyright © 2019 Mathematical Sciences Publishers