Higher ideles and class field theory
Moritz Kerz, Yigeng Zhao
TL;DR
This paper introduces a universal framework for higher dimensional class field theory using higher ideles and duality theorems, aiming to unify and extend existing theories.
Contribution
It develops a novel approach to higher dimensional class field theory based on higher ideles and duality, providing a unified theoretical foundation.
Findings
Establishes a universal approach to higher class field theory
Utilizes higher ideles and duality theorems effectively
Lays groundwork for further research in higher dimensional class field theory
Abstract
We use higher ideles and duality theorems to develop a universal approach to higher dimensional class field theory.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry