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Seshadri constants, gonality of space curves and restriction of stable bundles

Roberto Paoletti
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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 P^3 under restriction to curves and surfaces.

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BibTeXRIS

Roberto Paoletti. 1993-04-09. Seshadri constants, gonality of space curves and restriction of stable bundles. https://arxiv.org/abs/alg-geom/9303006

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