Low-degree Rational curves on hypersurfaces in projective spaces and their degenerations
Algebraic Geometry
2020-03-11 v2
Abstract
We study rational curves on general Fano hypersurfaces in projective space, mostly by degenerating the hypersurface along with its ambient projective space to reducible varieties. We prove results on existence of low-degree rational curves with balanced normal bundle, and reprove some results on irreducibility of spaces of rational curves of low degree.
Keywords
Cite
@article{arxiv.1906.03747,
title = {Low-degree Rational curves on hypersurfaces in projective spaces and their degenerations},
author = {Ziv Ran},
journal= {arXiv preprint arXiv:1906.03747},
year = {2020}
}