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

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

2003-12-22

arxiv.org/abs/math/0312414v3

Israel J. of Math., No. 164 (2008), 193-220

Mathematics

Algebraic Geometry

28 pages; as published

Scientific paper

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-\'etale) covers of infinite degree with geometrically connected
fibers. The Jacobians of the curves are isomorphic to products of elliptic
curves.

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