Geodesic
Seshadri positive curves in a smooth projective \( 3 \)-fold
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 4, pp. 259-274

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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 \( \mathbb{P}^{3} \) 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 curves. 
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     author = {Paoletti, Roberto},
     title = {Seshadri positive curves in a smooth projective \( 3 \)-fold},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {259--274},
     publisher = {mathdoc},
     volume = {Ser. 9, 6},
     number = {4},
     year = {1995},
     zbl = {0874.14018},
     mrnumber = {MR1382710},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_4_a4/}
}
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Paoletti, Roberto. Seshadri positive curves in a smooth projective \( 3 \)-fold. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 4, pp. 259-274. http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_4_a4/