4 papers
Lower bounds of the slope of fibred threefolds
Miguel A. Barja
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 relat…
Numerical bounds of canonical varieties
Miguel A. Barja
We study lower bounds for the self-intersection of the canonical divisor of "canonical varieties" (i.e. varieties whose canonical linear system gives a birational map). We give som…
On the Slope of Fibred Surfaces
Miguel A. Barja, Francesco Zucconi
Given a relatively minimal non locally trivial fibred surface f: S->B, the slope of the fibration is a numerical invariant associated to the fibration. In this paper we explore how…
A Note on a Conjecture of Xiao
Miguel A. Barja, Francesco Zucconi
Let f:S ->B be a relatively minimal fibred surface. In this note we give a partial affirmative answer to a conjecture of Xiao, proving that the direct image of the relative dualizi…