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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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.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| 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 |
| Publisher: | Birkhäuser |
| ISSN: | 1022-1824 |
| 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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