Hirzebruch-Kummer covers of algebraic surfaces

Authors

PIOTR POKORA

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.

DOI

10.3906/mat-1808-22

Keywords

Ball-quotients, Hirzebruch surfaces, surfaces of general type, Hirzebruch-Kummer covers, curve configurations

First Page

412

Last Page

421

Recommended Citation

POKORA, PIOTR (2019) "Hirzebruch-Kummer covers of algebraic surfaces," Turkish Journal of Mathematics: Vol. 43: No. 1, Article 33. https://doi.org/10.3906/mat-1808-22
Available at: https://journals.tubitak.gov.tr/math/vol43/iss1/33