A new inequality on the Hodge number of algebraic surfaces
arXiv:1303.2749
Abstract
We get a new inequality on the Hodge number of fibred algebraic complex surfaces , which is a generalization of an inequality of Beauville. Our inequality implies the Arakelov type inequalities due to Arakelov, Faltings, Viehweg and Zuo, respectively.
11 pages, 3 figures