Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica (May 2004)
Seshadri fibrations on algebraic surfaces
Abstract
We show that small Seshadri constants in a general point of a surface have strong geometrical implications, the surface is fibered by curves computing the Seshadri constant. We give a sharp bound in terms of the selfintersection of the given ample line bundle and discuss some examples.