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arXiv · 1605.01759

Rational curves on general type hypersurfaces

Eric Riedl·David Yang
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Abstract

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.

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Eric Riedl, David Yang. 2016-05-05. Rational curves on general type hypersurfaces. https://arxiv.org/abs/1605.01759

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