Blow-ups and class field theory for curves

Daichi Takeuchi

doi:10.2140/ant.2019.13.1327

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2019 Blow-ups and class field theory for curves

Daichi Takeuchi

Abstract

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

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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

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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

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