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 $\frac{3n+1}{2} \leq d \leq 2n - 3$ in $\mathbb{P}^n$ contain lines but no other rational curves.
Citation
Eric Riedl. David Yang. "Rational curves on general type hypersurfaces." J. Differential Geom. 116 (2) 393 - 403, October 2020. https://doi.org/10.4310/jdg/1603936816
