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arXiv · 2308.11102

Quartic surfaces with a Galois point and Eisenstein K3 surfaces

Kei Miura·Shingo Taki
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Abstract

We prove that there exists a one to one correspondence between smooth quartic surfaces with an inner Galois point and Eisenstein $K3$ surfaces of type $(4, 3)$. Furthermore we characterize the quartic surface with 8 (the maximum number) inner Galois points as a singular $K3$ surface.

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Kei Miura, Shingo Taki. 2023-08-22. Quartic surfaces with a Galois point and Eisenstein K3 surfaces. https://arxiv.org/abs/2308.11102

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