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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M. C. Beltrametti, A. J. Sommese (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Antonio Lanteri, Hidetoshi Maeda (2003)
Collectanea Mathematica
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Tommaso De Fernex (1998)
Collectanea Mathematica
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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.
Frédéric Campana, Thomas Peternell (1992)
Compositio Mathematica
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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...
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.