6 citations · 6 across the 3 of their papers we have counts for
4 papers
The minima of the geodesic length functions of uniform filling curves
Ernesto Girondo, Gabino González-Diez, Rubén A. Hidalgo
There is a natural link between (multi-)curves that fill up a closed oriented surface and dessins d'enfants. We use this approach to exhibit explicitly the minima of the geodesic l…
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…
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…
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…