Published June 2019
| Version Submitted + Published
Journal Article
Open
Reconstructing global fields from dynamics in the abelianized Galois group
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1.
Utrecht University
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2.
Queen Mary University of London
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3.
California Institute of Technology
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4.
Perimeter Institute
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5.
University of Toronto
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.
Additional Information
© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. First Online 15 March 2019. This paper supersedes [5], of which it is the second (and final) part, dealing with the dynamical systems aspects of the theory. The first part [6] dealt with physics aspects related to partition functions, and [8] is a companion paper, only containing number theoretical results. Part of this work was done whilst the first two authors enjoyed the hospitality of the University of Warwick (special thanks to Richard Sharp for making it possible).Attached Files
Published - Cornelissen2019_Article_ReconstructingGlobalFieldsFrom.pdf
Submitted - 1706.04517.pdf
Files
1706.04517.pdf
Additional details
Identifiers
- Eprint ID
- 78985
- Resolver ID
- CaltechAUTHORS:20170712-082102987
Related works
- Describes
- https://arxiv.org/abs/1706.04517 (URL)
Dates
- Created
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2017-07-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
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- Mathematics Department