双曲面上双曲线的米亚岩上界及其扩展
代数几何
2025-04-02 v1
摘要
我们证明了度为 的双曲面上双曲线数量的米亚岩上界在高 时被实现，同样适用于更高偶次（光滑）有理曲线。
引用
@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}
}
备注
Dedicated to Tetsuji Shioda on the occasion of his 85th birthday. 12 pages