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Ideles in higher dimension

2009/07/30 by Moritz Kerz, Kerz, Moritz
Mathematics · #14C35 #19F05 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #K-Theory and Homology (math.KT) #Number Theory (math.NT) #math.KT #math.NT #msc:14C35 #msc:19F05

paper · pdf · doi:10.48550/arxiv.0907.5337

16 pages, final version

openalex publication_date 2009/07/30 · arxiv created 2011/05/02 · arxiv updated 2011/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a notion of idele class groups of finitely generated fields using the concept of Parshin chains. This new class group allows us to give an idelic interpretation of the higher class field theory of Kato and Saito.

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