Mathematical Research Letters

Volume 18 (2011)

Number 4

Ideles in Higher Dimension

Pages: 699 – 713

DOI: http://dx.doi.org/10.4310/MRL.2011.v18.n4.a9

Author

Moritz Kerz (Universität Duisburg-Essen, Fachbereich Mathematik, Campus Essen, 45117 Essen, Germany)

Abstract

We propose a notion of idele class groups of finitely generated fields using the concept of relative 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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