从 Enriques 曲面到 Artin-Mumford 反例
代数几何
2022-11-04 v1
摘要
在介绍 Enriques 曲面与有理性问题主题之后，重新审视了 Artin-Mumford 关于 Lüroth 问题的反例。给出了一个其构造，它以显式方式与 Enriques 曲面的几何相关联，更确切地说，与 Reye 线汇的特殊族及其经典几何相关。
引用
@article{arxiv.2211.01509,
title = {From Enriques surface to Artin-Mumford counterexample},
author = {Alessandro Verra},
journal= {arXiv preprint arXiv:2211.01509},
year = {2022}
}
备注
To appear in 'Algebraic Geometry between Tradition and Future', Proceedings of the INdAM Workshop 'Italian algebraic geometry between tradition and future', Rome December 6-8 2021. Springer INdAM Series. 23 pages