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arXiv · 1706.04517

Reconstructing global fields from dynamics in the abelianized Galois group

Gunther Cornelissen·Xin Li·Matilde Marcolli·Harry Smit
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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.

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Gunther Cornelissen, Xin Li, Matilde Marcolli, Harry Smit. 2017-06-14. Reconstructing global fields from dynamics in the abelianized Galois group. https://arxiv.org/abs/1706.04517

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