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arXiv · 2003.10597

Recovering algebraic curves from L-functions of Hilbert class fields

Jeremy Booher·José Felipe Voloch
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Abstract

In this paper, we prove that a smooth hyperbolic projective curve over a finite field can be recovered from L-functions associated to the Hilbert class field of the curve and its constant field extensions. As a consequence, we give a new proof of a result of Mochizuki and Tamagawa that two such curves with isomorphic fundamental groups are themselves isomorphic.

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Jeremy Booher, José Felipe Voloch. 2020-03-24. Recovering algebraic curves from L-functions of Hilbert class fields. https://arxiv.org/abs/2003.10597

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