Reconstructing global fields from dynamics in the abelianized Galois group

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Reconstructing global fields from dynamics in the abelianized Galois group
 
Cornelissen, Gunther; Li, Xin; Marcolli, Matilde; Smit, Harry
(2019) Selecta Mathematica, New Series, volume 25, issue 2
(Article)
Abstract
We study a dynamical system induced by the Artin reciprocity map for a global field. We translate the conjugacy of such dynamical systems into various arithmetical properties that are equivalent to field isomorphism, relating it to anabelian geometry.
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Keywords: Anabelian geometry, Bost–Connes system, Class field theory, L-series, Neukirch–Uchida theorem, General Mathematics, General Physics and Astronomy
DOI: https://doi.org/10.1007/s00029-019-0469-8
ISSN: 1022-1824
Publisher: Birkhauser Verlag Basel
(Peer reviewed)
 
 
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