Seshadri constants, gonality of space curves and restriction of stable bundles
Abstract
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 P3 under restriction to curves and surfaces.
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