Positivity results for Euler characteristics of singular surfaces (Q1323415)

The main result of this paper deals with surfaces \(X\) with at most quasi- elliptic singularities. The author proves that if \(e(X) < 0\) or \(\chi(X) < 0\) then \(X\) is ruled of genus \(\geq 2\). He also proves that if the Kodaira dimension is nonnegative then \(\chi(X) \geq 0\) and \(>0\) if \(\text{kod} X = 2\). He gives an example to show that all conditions are necessary.