Rational curves on hypersurfaces

Yuan Wang

Rational curves on hypersurfaces

Algebraic Geometry 2018-01-23 v2

Authors: Yuan Wang

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 $D$ .

Keywords

rational points on curves curves algebraic curves

Cite

@article{arxiv.1604.04663,
  title  = {Rational curves on hypersurfaces},
  author = {Yuan Wang},
  journal= {arXiv preprint arXiv:1604.04663},
  year   = {2018}
}

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