关于超奇异 K3 曲面的单有理性质
代数几何
2019-04-11 v5 数论
摘要
我们证明了在特征至少为 的代数闭域上的超奇异 K3 曲面是单有理的，该方法遵循 Liedtke 策略的简化形式。
引用
@article{arxiv.1403.3073,
title = {On the unirationality of supersingular K3 surfaces},
author = {Max Lieblich},
journal= {arXiv preprint arXiv:1403.3073},
year = {2019}
}
备注
Withdrawn due to an error in Proposition 5.6, corresponding to an identical error in Proposition 3.5 and Theorem 3.6 in Liedtke's original arXiv:1304.5623 (published in Inventiones Mathematicae, 200: 979--1014). Liedtke's strategy seems to be fatally flawed, as explained in the author's joint work with Bragg, arXiv:1904.04803