Arbitrarily large Galois orbits of non-homeomorphic surfaces

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).

arXiv comment15 pages

References in corpus (1)

• The absolute Galois group acts faithfully on the connected components of the moduli space of surfaces of general type