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arXiv:math/9909073 [math.AG]AbstractReferencesReviewsResources

Lower bounds of the slope of fibred threefolds

Miguel A. Barja

Published 1999-09-14Version 1

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.

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