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Quasi-Galois points for quartic surfaces

Kei Miura, Shingo Taki

Source record

Source: arXiv

Published: Aug 26, 2026

arXiv: 2608.25445

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Source 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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Quasi-Galois points for quartic surfaces — Mathematical Frontier Network