Seshadri positive curves in a smooth projective 3-fold
Paoletti, Roberto
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 6 (1995), p. 259-274 / Harvested from Biblioteca Digitale Italiana di Matematica
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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 P3 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 P3 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.

Publié le : 1995-12-01
@article{RLIN_1995_9_6_4_259_0,
     author = {Roberto Paoletti},
     title = {Seshadri positive curves in a smooth projective \( 3 \)-fold},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {6},
     year = {1995},
     pages = {259-274},
     zbl = {0874.14018},
     mrnumber = {1382710},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1995_9_6_4_259_0}
}

Paoletti, Roberto. Seshadri positive curves in a smooth projective \( 3 \)-fold. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 6 (1995) pp. 259-274. http://gdmltest.u-ga.fr/item/RLIN_1995_9_6_4_259_0/

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