Complex surfaces with mutually non-biholomorphic universal covers
Algebraic Geometry
2021-05-04 v1
Abstract
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 family of complex surfaces that gives rise to uncountably many mutually non-biholomorphic universal covers. The slope of these surfaces, which are going to be total spaces of Kodaira fibrations, is also determined
Cite
@article{arxiv.2001.00436,
title = {Complex surfaces with mutually non-biholomorphic universal covers},
author = {Gabino González-Diez and Sebastián Reyes-Carocca},
journal= {arXiv preprint arXiv:2001.00436},
year = {2021}
}
Comments
10 pages