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arXiv · 2608.25445

Quasi-Galois points for quartic surfaces

Kei Miura·Shingo Taki
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Abstract

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.

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Kei Miura, Shingo Taki. 2026-08-26. Quasi-Galois points for quartic surfaces. https://arxiv.org/abs/2608.25445

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