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• W2022607987 abstract "Under some positivity assumptions, extension properties of rationally connected fibrations from a submanifold to its ambient variety are studied. Given a family of rational curves on a complex projective manifold X inducing a covering family on a submanifold Y with ample normal bundle in X, the main results relate, under suitable conditions, the associated rational connected fiber structures on X and on Y. Applications of these results include an extension theorem for Mori contractions of fiber type and a classification theorem in the case Y has a structure of projective bundle or quadric fibration." @default.
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• W2022607987 date "2008-03-04" @default.
• W2022607987 modified "2023-10-17" @default.
• W2022607987 title "Ample subvarieties and rationally connected fibrations" @default.
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• W2022607987 doi "https://doi.org/10.1007/s00208-008-0217-4" @default.
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