AMPLE VECTOR BUNDLES WITH SECTIONS VANISHING ON SPECIAL VARIETIES
1999 ◽
Vol 10
(06)
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pp. 677-696
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Keyword(s):
Let ε be an ample vector bundle of rank r on a complex projective manifold X such that there exists a section s ∈ Γ(ε) whose zero locus Z = (s = 0) is a smooth submanifold of the expected dimension dim X-r:= n - r. Assume that Z is not minimal; we investigate the hypothesis under which the extremal contractions of Z can be lifted to X. Finally we study in detail the cases in which Z is a scroll, a quadric bundle or a del Pezzo fibration.
1999 ◽
Vol 42
(2)
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pp. 209-213
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Keyword(s):
2008 ◽
Vol 144
(1)
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pp. 109-118
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1995 ◽
Vol 06
(04)
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pp. 587-600
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Keyword(s):
2011 ◽
Vol 22
(04)
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pp. 593-602
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Keyword(s):
Keyword(s):
1971 ◽
Vol 43
◽
pp. 91-116
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Keyword(s):
2020 ◽
Vol 0
(0)
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Keyword(s):