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摘要翻译：
在一定的正性假设下，研究了有理连通纤维从子流形到其周围簇的扩张性质。给出复射影流形X上的有理曲线族，在适当的条件下，导出了X和Y上的有理连通纤维结构。这些结果的应用包括纤维型Mori收缩的扩张定理和Y具有射影丛或二次纤维结构时的分类定理。
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英文标题：
《Ample subvarieties and rationally connected fibrations》
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作者：
Mauro C. Beltrametti, Tommaso de Fernex, Antonio Lanteri
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
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.
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PDF链接：
https://arxiv.org/pdf/0704.0661
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