Reconstructing global fields from dynamics in the abelianized Galois group

Cornelissen, G., Li, X. , Marcolli, M. and Smit, H. (2019) Reconstructing global fields from dynamics in the abelianized Galois group. Selecta Mathematica - New Series, 25(2), 24. (doi: 10.1007/s00029-019-0469-8)

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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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Li, Professor Xin
Authors: Cornelissen, G., Li, X., Marcolli, M., and Smit, H.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Selecta Mathematica - New Series
ISSN (Online):1420-9020
Published Online:15 March 2019
Copyright Holders:Copyright © 2019 The Authors
First Published:First published in Selecta Mathematica - New Series 25(2): 24
Publisher Policy:Reproduced under a Creative Commons License

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