Arbitrarily large Galois orbits of non-homeomorphic surfaces
Algebraic Geometry
2011-10-25 v1 Group Theory
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).
Keywords
Cite
@article{arxiv.1110.4930,
title = {Arbitrarily large Galois orbits of non-homeomorphic surfaces},
author = {Gabino Gonzalez-Diez and Gareth A. Jones and David Torres-Teigell},
journal= {arXiv preprint arXiv:1110.4930},
year = {2011}
}
Comments
15 pages