Arbitrarily large Galois orbits of non-homeomorphic surfaces

David Torres-Teigell; Gabino Gonzalez-Diez; Gareth A. Jones

arxiv: 1110.4930 · v1 · pith:7YDV2IJZnew · submitted 2011-10-22 · 🧮 math.AG · math.GR

Arbitrarily large Galois orbits of non-homeomorphic surfaces

Gabino Gonzalez-Diez , Gareth A. Jones , David Torres-Teigell This is my paper

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keywords surfacesbeauvillegaloisgrouporbitsabsolutearbitrarilyconsisting

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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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Arbitrarily large Galois orbits of non-homeomorphic surfaces

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