Ample vector bundles with sections vanishing along conic fibrations over curves.
Tommaso De Fernex (1998)
Collectanea Mathematica
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Displaying similar documents to “Ample vector bundles with zero loci having a bielliptic curve section.”
Ample vector bundles with sections vanishing along conic fibrations over curves.
Seshadri positive curves in a smooth projective -fold
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...
Geometric genera for ample vector bundles with regular sections.
Antonio Lanteri (2000)
Revista Matemática Complutense
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Let X be a smooth complex projective variety of dimension n ≥ 3. A notion of geometric genus p(X,E) for ample vector bundles E of rank r < n on X admitting some regular sections is introduced. The following inequality holds: p(X,E) ≥ h(X). The question of characterizing equality is discussed and the answer is given for E decomposable of corank 2. Some conjectures suggested by the result are formulated.
On the second exterior power of tangent bundles of threefolds
Frédéric Campana, Thomas Peternell (1992)
Compositio Mathematica
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Threefolds with nef anticanonical bundles.
Thomas Peternell, Fernando Serrano (1998)
Collectanea Mathematica
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In this paper we study the global structure of projective threefolds X whose anticanonical bundle -KX is nef.
On the dimension of the adjoint linear system for threefolds
M. C. Beltrametti, A. J. Sommese (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Seshadri positive submanifolds of polarized manifolds
Lucian Bădescu, Mauro Beltrametti (2013)
Open Mathematics
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Let Y be a submanifold of dimension y of a polarized complex manifold (X, A) of dimension k ≥ 2, with 1 ≤ y ≤ k−1. We define and study two positivity conditions on Y in (X, A), called Seshadri A-bigness and (a stronger one) Seshadri A-ampleness. In this way we get a natural generalization of the theory initiated by Paoletti in [Paoletti R., Seshadri positive curves in a smooth projective 3-fold, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 1996, 6(4),...