Covering of curves, gonality, and scrollar invariants.
Ballico, E. (2006)
Matematichki Vesnik
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Ballico, E. (2006)
Matematichki Vesnik
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Roberto Paoletti (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A notion of positivity, called Seshadri ampleness, is introduced for a smooth curve in a polarized smooth projective -fold , whose motivation stems from some recent results concerning the gonality of space curves and the behaviour of stable bundles on under restriction to . This condition is stronger than the normality of the normal bundle and more general than being defined by a regular section of an ample rank- vector bundle. We then explore some of the properties of Seshadri-ample...
Hajime Kaji (1989)
Compositio Mathematica
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Hajime Kaji (1991)
Compositio Mathematica
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Edoardo Ballico (1981)
Bulletin de la Société Mathématique de France
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Ballico, E., Cossidente, A. (2000)
Mathematica Pannonica
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Roberto Paoletti (1996)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Motivated by the notion of Seshadri-ampleness introduced in [11], we conjecture that the genus and the degree of a smooth set-theoretic intersection should satisfy a certain inequality. The conjecture is verified for various classes of set-theoretic complete intersections.