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HIGHER IDELES AND CLASS FIELD THEORY

Part of: Algebraic number theory: global fields (Co)homology theory Arithmetic algebraic geometry Arithmetic problems. Diophantine geometry

Published online by Cambridge University Press:  02 October 2018

MORITZ KERZ  and
YIGENG ZHAO
MORITZ KERZ
Affiliation:
Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany email moritz.kerz@mathematik.uni-regensburg.de
YIGENG ZHAO
Affiliation:
Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany email yigeng.zhao@mathematik.uni-regensburg.de
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Abstract

We use higher ideles and duality theorems to develop a universal approach to higher dimensional class field theory.

MSC classification

Primary: 11G45: Geometric class field theory
Secondary: 14F20: Étale and other Grothendieck topologies and (co)homologies 14F35: Homotopy theory; fundamental groups 11R37: Class field theory 14G17: Positive characteristic ground fields
Type
Article
Information
Nagoya Mathematical Journal , Volume 236: Celebrating the 60th Birthday of Shuji Saito , December 2019 , pp. 214 - 250
Copyright
© 2018 Foundation Nagoya Mathematical Journal  

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Footnotes

The authors are supported by the DFG through CRC 1085 Higher Invariants (Universität Regensburg).

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