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arXiv · 1110.4930

Arbitrarily large Galois orbits of non-homeomorphic surfaces

Gabino Gonzalez-Diez·Gareth A. Jones·David Torres-Teigell
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Abstract

We construct orbits of the absolute Galois group, of explicit unbounded size, consisting of surfaces with mutually non-isomorphic fundamental groups. These are Beauville surfaces with Beauville group PGL_2(p).

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Gabino Gonzalez-Diez, Gareth A. Jones, David Torres-Teigell. 2011-10-22. Arbitrarily large Galois orbits of non-homeomorphic surfaces. https://arxiv.org/abs/1110.4930

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