Hirzebruch-Kummer covers of algebraic surfaces
arXiv:1805.01215 · doi:10.3906/mat-1808-22
Abstract
The aim of this paper is to show that using some natural curve arrangements in algebraic surfaces and Hirzebruch-Kummer covers one cannot construct new examples of ball-quotients, i.e., minimal smooth complex projective surfaces of general type satisfying equality in the Bogomolov-Miyaoka-Yau inequality.
12 pages, to appear in Turkish Journal of Mathematics