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Non-constant curves of genus 2 with infinite pro-Galois covers

Claus Diem·Gerhard Frey
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Abstract

For every odd prime number p, we give examples of non-constant smooth families of genus 2 curves over fields of characteristic p which have pro-Galois (pro-étale) covers of infinite degree with geometrically connected fibers. The Jacobians of the curves are isomorphic to products of elliptic curves.

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Claus Diem, Gerhard Frey. 2009-05-18. Non-constant curves of genus 2 with infinite pro-Galois covers. https://arxiv.org/abs/math/0312414

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