Mathematics – Algebraic Geometry
Scientific paper
1993-03-28
Mathematics
Algebraic Geometry
36 pages, amslatex
Scientific paper
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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