Hirzebruch-Kummer covers of algebraic surfaces

Authors : Piotr POKORA

Pages : 412-421

View : 12 | Download : 5

Publication Date : 0000-00-00

Article Type : Research Paper

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.
Keywords : Ball quotients, Hirzebruch surfaces, surfaces of general type, Hirzebruch Kummer covers, curve configurations