On the topological index of irregular surfaces
Algebraic Geometry
2007-05-23 v1
Abstract
We study the topological index of some irregular surfaces that we call generalized Lagrangian. We show that under certain hypotheses on the base locus of the Lagrangian system the topological index is non-negative. For the minimal surfaces of general type with q=4 and p_g=5 we prove the same statement without any hypotheses. Some similar results for higher dimensional varieties are given.
Cite
@article{arxiv.math/0604364,
title = {On the topological index of irregular surfaces},
author = {M. A. Barja and J. C. Naranjo and G. P. Pirola},
journal= {arXiv preprint arXiv:math/0604364},
year = {2007}
}
Comments
26 pages, to appear in Journal of Algebraic Geometry