Rational Curves on K3 Surfaces
Algebraic Geometry
2012-05-15 v2
Abstract
We show that projective K3 surfaces with odd Picard rank contain infinitely many rational curves. Our proof extends the Bogomolov-Hassett-Tschinkel approach, i.e., uses moduli spaces of stable maps and reduction to positive characteristic.
Cite
@article{arxiv.1012.3777,
title = {Rational Curves on K3 Surfaces},
author = {Jun Li and Christian Liedtke},
journal= {arXiv preprint arXiv:1012.3777},
year = {2012}
}
Comments
12 pages, 1 figure, introduction rewritten and a figure added