二维拟单项式群作用的合理性问题
代数几何
2023-11-28 v4 数论
摘要
二维纯拟单项式作用的合理性问题已由 Hoshi、Kang 与 Kitayama [HKK] 完全解决。作为推广，我们在作用于基域之内定义的条件下解决了二维拟单项式作用的合理性问题。为证明该定理，我们简要回顾了 Severi-Brauer 簇并给出若干例子与合理性结果。我们还使用了非闭域上 圆锥丛的一个合理性判据。
关键词
引用
@article{arxiv.2012.12046,
title = {Rationality problem of two-dimensional quasi-monomial group actions},
author = {Akinari Hoshi and Hidetaka Kitayama},
journal= {arXiv preprint arXiv:2012.12046},
year = {2023}
}
备注
To appear in Transformation Groups, 29 pages. Theorem 1.6 is improved. Remark 1.7 is added. Theorem 2.7 is deleted. Section 3 (Proof of Theorem 1.6) is greatly improved by referee's valuable suggestions. Remarks 3.1, 3.2, 3.3, 3.4 are added. Some typos are corrected