Density of Rational Curves on K3 Surfaces
Algebraic Geometry
2015-03-17 v3
Abstract
We proved that the union of rational curves is dense on a very general K3 surface and the union of elliptic curves is dense in the 1st jet space of a very general K3 surface, both in the strong topology.
Cite
@article{arxiv.1004.5167,
title = {Density of Rational Curves on K3 Surfaces},
author = {Xi Chen and James D. Lewis},
journal= {arXiv preprint arXiv:1004.5167},
year = {2015}
}
Comments
23 pages. To appear in Mathematische Annalen