Rational curves on general type hypersurfaces
Algebraic Geometry
2016-05-09 v1
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.
Cite
@article{arxiv.1605.01759,
title = {Rational curves on general type hypersurfaces},
author = {Eric Riedl and David Yang},
journal= {arXiv preprint arXiv:1605.01759},
year = {2016}
}