Abstract
We propose another proof of geometric class field theory for curves by considering blow-ups of symmetric products of curves.
Citation
Daichi Takeuchi. "Blow-ups and class field theory for curves." Algebra Number Theory 13 (6) 1327 - 1351, 2019. https://doi.org/10.2140/ant.2019.13.1327
Information
Received: 20 May 2018; Revised: 19 February 2019; Accepted: 25 March 2019; Published: 2019
First available in Project Euclid: 21 August 2019
zbMATH: 07103976
MathSciNet: MR3994567
Digital Object Identifier: 10.2140/ant.2019.13.1327
Subjects:
Primary:
11G45
Secondary:
14H30
Keywords:
generalized Jacobian
,
geometric class field theory
,
ramification theory
Rights: Copyright © 2019 Mathematical Sciences Publishers