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

1993/03/28 by Roberto Paoletti, Paoletti, Roberto
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.alg-geom/9303006

openalex publication_date 1993/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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