Higher ideles and class field theory

2018/04/02 by Moritz Kerz, Kerz, Moritz, Yigeng Zhao +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.1804.00603

final, 24 pages

openalex publication_date 2018/04/02 · arxiv created 2018/08/21 · arxiv updated 2018/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• Ideles in higher dimension
• Class field theory, its three main generalisations, and applications
• Derived class field theory
• Notes on abelian class field theory
• Invitation to higher local fields, Part I, section 10: Explicit higher local class field theory