The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type   inequalities
  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. 
Piotr Pokora
math.AG math.CO