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PreprintarXiv licencearXiv

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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Cite

BibTeXRIS
BibTeX
@misc{miura2026quasigalois,
  title = {{Quasi-Galois points for quartic surfaces}},
  author = {Kei Miura and Shingo Taki},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.25445},
  eprint = {2608.25445},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.25445},
}
RIS
TY  - UNPB
TI  - Quasi-Galois points for quartic surfaces
AU  - Kei Miura
AU  - Shingo Taki
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2608.25445
UR  - https://arxiv.org/abs/2608.25445
AB  - 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.
ER  -