On the normal bundle of curves on smooth projective surfaces.

G. Ellingsrud; L. Gruson; C. Peskine

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Seshadri positive curves in a smooth projective $3$ -fold

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A notion of positivity, called Seshadri ampleness, is introduced for a smooth curve $C$ in a polarized smooth projective $3$ -fold $(X, A)$ , whose motivation stems from some recent results concerning the gonality of space curves and the behaviour of stable bundles on $P^{3}$ under restriction to $C$ . This condition is stronger than the normality of the normal bundle and more general than $C$ being defined by a regular section of an ample rank- $2$ vector bundle. We then explore some of the properties of Seshadri-ample...

On a geometric property of the normal bundle of surfaces in IP4.

R. Braun (1991)

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