Arbitrarily large Galois orbits of non-homeomorphic surfaces

Details Arbitrarily large Galois orbits of non-homeomorphic surfaces Arbitrarily large Galois orbits of non-homeomorphic surfaces

2011-10-22

arxiv.org/abs/1110.4930v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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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