The Hodge number h^1,1 of irregular algebraic surfaces
Algebraic Geometry
2014-02-27 v1
Abstract
We prove a new inequality for the Hodge number h^1,1 of irregular complex smooth projective surfaces of general type without irregular pencils of genus >1. More specifically we show that if the irregularity q satisfies q=2^k+1 then h^1,1>4q-4.
Cite
@article{arxiv.1402.6357,
title = {The Hodge number h^1,1 of irregular algebraic surfaces},
author = {Andrea Causin and Margarida Mendes Lopes and Gian Pietro Pirola},
journal= {arXiv preprint arXiv:1402.6357},
year = {2014}
}