Lower bounds of the slope of fibred threefolds
Algebraic Geometry
2007-05-23 v1
Abstract
We study from a geographical point of view fibrations of threefolds over smooth curves, such that the general fibre is of general type. We prove the non-negativity of certain relative invariants under general hypotheses and give lower bounds for the self-interssection of the relative canonical divisor of the fibration, depending on other relative invariants. We also study the influence of the relative irregularity on these bounds. A more detailed study of the lowest cases of the bounds is given.
Keywords
Cite
@article{arxiv.math/9909073,
title = {Lower bounds of the slope of fibred threefolds},
author = {Miguel A. Barja},
journal= {arXiv preprint arXiv:math/9909073},
year = {2007}
}
Comments
34 pages