具有外伽罗瓦点的四曲面和具有 4 阶自形性的 K3 曲面

arXiv - MATH - Algebraic Geometry Pub Date : 2024-08-08 DOI:arxiv-2408.04137

Kei Miura, Shingo Taki

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摘要

我们证明了具有一个外伽罗瓦点的光滑四元曲面与具有一定的 4 阶自形性的 K3 曲面之间存在一一对应关系。此外，我们将具有两个或更多外伽罗瓦点的四元数曲面表征为 K3 曲面。

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Quartic surfaces with an outer Galois point and K3 surfaces with an automorphism of order 4

We prove that there exists a one-to-one correspondence between smooth quartic surfaces with an outer Galois point and K3 surfaces with a certain automorphism of order 4. Furthermore, we characterize quartic surfaces with two or more outer Galois points as K3 surfaces.

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arXiv - MATH - Algebraic Geometry

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