Ideles in higher dimension

Details Ideles in higher dimension Ideles in higher dimension

2009-07-30

arxiv.org/abs/0907.5337v3

Mathematics

Number Theory

16 pages, final version

Scientific paper

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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