KODAIRA DIMENSION OF SUBVARIETIES II
2006 ◽
Vol 17
(05)
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pp. 619-631
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Keyword(s):
This paper continues the study of non-general type subvarieties begun in a joint paper with Schneider and Sommese [14]. We prove uniruledness of a projective manifold containing a submanifold not of general type whose normal bundle has positivity properties and study moreover the rational quotient. We also relate the fundamental groups and a prove a cohomological criterion for a manifold to be rationally connected (weak version of a conjecture of Mumford).
2021 ◽
Vol 0
(0)
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Keyword(s):
2019 ◽
Vol 2019
(752)
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pp. 265-300
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Keyword(s):
2019 ◽
Vol 21
(02)
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pp. 1850011
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Keyword(s):
1999 ◽
Vol 10
(06)
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pp. 707-719
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2003 ◽
Vol 14
(10)
◽
pp. 1053-1080
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