English

Ideles in higher dimension

Number Theory 2011-05-03 v3 K-Theory and Homology

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.

Cite

@article{arxiv.0907.5337,
  title  = {Ideles in higher dimension},
  author = {Moritz Kerz},
  journal= {arXiv preprint arXiv:0907.5337},
  year   = {2011}
}

Comments

16 pages, final version

R2 v1 2026-06-21T13:30:50.681Z