Complex surfaces with mutually non-biholomorphic universal covers
arXiv:2001.00436 · doi:10.1090/conm/766/15380
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
10 pages