Numerical inequalities for quasi-projective surfaces

Rita Pardini, Sofia Tirabassi

Let $V$ be a smooth quasi-projective complex surface with compactification $(X,D)$ and set ${\overline{P}}_1(V):=h^0(X,K_X+D)$, $\overline{q}(V):=h^0(X,{\Omega }_X^1(\log D))$. We prove that $…