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, P (2019). Hirzebruch-Kummer covers of algebraic surfaces. Turkish Journal of Mathematics 43 (1): 412-421. https://doi.org/10.3906/mat-1808-22

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