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arxiv: 1612.05141 · v2 · pith:XBR2EECKnew · submitted 2016-12-15 · 🧮 math.AG · math.CO

The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type inequalities

classification 🧮 math.AG math.CO
keywords hirzebruch-typeinequalitiesinequalitylangerarrangementsbogomolov-miyaoka-yaucitecomplex
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Using Langer's variation on the Bogomolov-Miyaoka-Yau inequality \cite[Theorem 0.1]{Langer} we provide some Hirzebruch-type inequalities for curve arrangements in the complex projective plane.

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