Algebra & Number Theory

Blow-ups and class field theory for curves

Daichi Takeuchi

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Abstract

We propose another proof of geometric class field theory for curves by considering blow-ups of symmetric products of curves.

Article information

Source
Algebra Number Theory, Volume 13, Number 6 (2019), 1327-1351.

Dates
Received: 20 May 2018
Revised: 19 February 2019
Accepted: 25 March 2019
First available in Project Euclid: 21 August 2019

Permanent link to this document
https://projecteuclid.org/euclid.ant/1566353010

Digital Object Identifier
doi:10.2140/ant.2019.13.1327

Mathematical Reviews number (MathSciNet)
MR3994567

Zentralblatt MATH identifier
07103976

Subjects
Primary: 11G45: Geometric class field theory [See also 11R37, 14C35, 19F05]
Secondary: 14H30: Coverings, fundamental group [See also 14E20, 14F35]

Keywords
geometric class field theory ramification theory generalized jacobian

Citation

Takeuchi, Daichi. Blow-ups and class field theory for curves. Algebra Number Theory 13 (2019), no. 6, 1327--1351. doi:10.2140/ant.2019.13.1327. https://projecteuclid.org/euclid.ant/1566353010


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