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arXiv · 1604.04663

Rational curves on hypersurfaces

Yuan Wang
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Abstract

Let $(X,D)$ be a pair where $X$ is a projective variety. We study in detail how the behavior of rational curves on $X$ as well as the positivity of $-(K_X+D)$ and $D$ influence the behavior of rational curves on $D$. In particular we give criteria for uniruledness and rational connectedness of components of $D$.

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Yuan Wang. 2016-04-15. Rational curves on hypersurfaces. https://arxiv.org/abs/1604.04663

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