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Quartic surfaces with a Galois point and Eisenstein surfaces

  • Kei Miura

    Yamaguchi University, Ube, Japan

  • Shingo Taki

    Tokai University, Hiratsuka, Japan
    ORCID
Quartic surfaces with a Galois point and Eisenstein $K3$ surfaces cover
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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 surfaces of type . Furthermore, we characterize the quartic surface with 8 (the maximum number) inner Galois points as a singular surface.

Cite this article

Kei Miura, Shingo Taki, Quartic surfaces with a Galois point and Eisenstein surfaces. Rend. Sem. Mat. Univ. Padova (2025), published online first

DOI 10.4171/RSMUP/185