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四次曲面的拟伽罗瓦点

Quasi-Galois points for quartic surfaces

Kei Miura, Shingo Taki

arXiv 2608.25445首次发表:更新:

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]

论文原文

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