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Rational curves on general type hypersurfaces
Journal of Differential Geometry ( IF 2.5 ) Pub Date : 2020-10-01 , DOI: 10.4310/jdg/1603936816
Eric Riedl 1 , David Yang 2
Affiliation  

We develop a technique that allows us to prove results about subvarieties of general type hypersurfaces. As an application, we use a result of Clemens and Ran to prove that a very general hypersurface of degree (3n+1)/2 \leq d \leq 2n-3 contains lines but no other rational curves.

中文翻译:

一般类型超曲面上的有理曲线

我们开发了一种技术,使我们能够证明关于一般类型超曲面的子变体的结果。作为一个应用,我们使用 Clemens 和 Ran 的结果来证明一个非常一般的度数为 (3n+1)/2 \leq d \leq 2n-3 的超曲面包含直线但没有其他有理曲线。
更新日期:2020-10-01
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