发表机构
Yamaguchi University; Tokai University(山口大学; 东海大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
该研究刻画了容许拟伽罗瓦点的光滑四次曲面,给出相关判别准则,确定费马四次曲面有28个拟伽罗瓦点。
AI 中文摘要
我们研究作为伽罗瓦点推广的拟伽罗瓦点,通过带有特定对合的K3曲面刻画了容许拟伽罗瓦点的光滑四次曲面,给出了四次曲面拟伽罗瓦点的判别准则,还确定了费马四次曲面的所有拟伽罗瓦点,证明其恰有28个拟伽罗瓦点。
英文摘要
We study quasi-Galois points, which are a generalization of Galois points. We characterize smooth quartic surfaces admitting a quasi-Galois point in terms of K3 surfaces with a certain involution, and provide a criterion for quasi-Galois points for quartic surfaces. Moreover, we also determine all quasi-Galois points of the Fermat quartic surface and show that it has exactly 28 quasi-Galois points.
Comments17 pages. We have corrected typos and added a few comments regarding [4]