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math.AG2020
Complex surfaces with mutually non-biholomorphic universal covers
Gabino González-Diez, Sebastián Reyes-Carocca
It is known that the universal cover of compact Riemann surface is either the projective line, the complex plane or the unit disk. In this article we construct a very explicit fami…
math.AG2016★ 6 cited
The arithmeticity of a Kodaira Fibration is determined by its universal cover
Gabino González-Diez, Sebastián Reyes-Carocca
Let be a Kodaira fibration. Here we show that whether or not the algebraic surface is defined over a number field depends only on the biholomorphic class of its unive…
math.AG2011
Beauville surfaces with abelian Beauville group
Gabino González-Diez, Gareth A. Jones, David Torres-Teigell
A Beauville surface is a rigid surface of general type arising as a quotient of a product of curves , of genera by the free action of a finite gro…