Miyaoka's bound for conics on K3 surfaces and beyond
Algebraic Geometry
2025-04-02 v1
Abstract
We show that Miyaoka's bound for the number of conics on a degree-2h K3 surface is attained for high h, and analogously for higher even degree (smooth) rational curves.
Cite
@article{arxiv.2504.00778,
title = {Miyaoka's bound for conics on K3 surfaces and beyond},
author = {Sławomir Rams and Matthias Schütt},
journal= {arXiv preprint arXiv:2504.00778},
year = {2025}
}
Comments
Dedicated to Tetsuji Shioda on the occasion of his 85th birthday. 12 pages