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.

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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 \( \mathbb{P}^{3} \) 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.
cia. Si introduce una nozione di positività, denominata Seshadri ampiezza, per una curva non-singolare \( C \) in una varietà proiettiva liscia \( 3 \)-dimensionale polarizzata \( (X,A) \), motivata da alcuni recenti risultati concernenti la gonalità di una curva nello spazio e il comportamento di fibrati vettoriali stabili su \( \mathbb{P}^{3} \) sotto restrizione a una curva data. Questa condizione è più forte della normalità del fibrato vettoriale, e più generale dell'essere \( C \) definita da una sezione regolare di un fibrato ampio di rango due. Si esplorano quindi alcune proprietà delle curve Seshadri-ampie. 
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     title = {Seshadri positive curves in a smooth projective \( 3 \)-fold},
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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/

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