Work

Quasi-Galois points for quartic surfaces

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.25445

Authors: Miura, Kei, Taki, Shingo

Institutions: Tokai University, Yamaguchi University

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204470954

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