Nef line bundles which are not ample.
V.B. Mehta, S. Subramanian (1995)
Mathematische Zeitschrift
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V.B. Mehta, S. Subramanian (1995)
Mathematische Zeitschrift
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Qi Zhang (1996)
Mathematische Zeitschrift
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Thomas Peternell (1990)
Mathematische Zeitschrift
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Norman Goldstein (1984)
Compositio Mathematica
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M. Schneider, Mauro C. Beltrametti (1993)
Mathematische Zeitschrift
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M.C. Crabb, K. Knapp (1986)
Mathematische Zeitschrift
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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.
Bun Wong (1984)
Mathematische Zeitschrift
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Tommaso De Fernex (1998)
Collectanea Mathematica
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Stein Arild Stromme (1983)
Mathematische Annalen
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Hubert Flenner (1986)
Mathematische Zeitschrift
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