%0 Journal Article %T Seshadri constants, gonality of space curves and restriction of stable bundles %A Roberto Paoletti %J Mathematics %D 1993 %I arXiv %X We define the Seshadri constant of a space curve and consider ways to estimate it. We then show that it governs the gonality of the curve. We use an argument based on Bogomolov's instability theorem on a threefold. The same methods are then applied to the study of the behaviour of a stable vector bundle on P^3 under restriction to curves and surfaces. %U http://arxiv.org/abs/alg-geom/9303006v2