Hirzebruch-Kummer covers of algebraic surfaces
classification
🧮 math.AG
keywords
surfacesalgebraiccovershirzebruch-kummerarrangementsball-quotientsbogomolov-miyaoka-yaucannot
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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.
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