Quartic surfaces with a Galois point and Eisenstein $K3$ surfaces

We prove that there exists a one-to-one correspondence between smooth quartic surfaces with an inner Galois point and Eisenstein K3 surfaces of type (4, 3) . Furthermore, we characterize the quartic surface with 8 (the maximum number) inner Galois points as a singular K3 surface.

Authors

Institutions

Publication Details

Journal
Rendiconti del Seminario Matematico della Università di Padova
Published
2025-09-22
DOI
https://doi.org/10.4171/rsmup/185
Citations
1
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
4.09
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Quartic surfaces with a Galois point and Eisenstein $K3$ surfaces

Shingo Taki, Kei Miura
1 citations
Rendiconti del Seminario Matematico della Università di Padova
Algebraic Geometry and Number Theory
4.09
article

Quartic surfaces with a Galois point and Eisenstein $K3$ surfaces

Shingo Taki, Kei Miura
article en
1 citations

Abstract

We prove that there exists a one-to-one correspondence between smooth quartic surfaces with an inner Galois point and Eisenstein K3 surfaces of type (4, 3) . Furthermore, we characterize the quartic surface with 8 (the maximum number) inner Galois points as a singular K3 surface.

Rendiconti del Seminario Matematico della Università di Padova
Tokai University (JP), Yamaguchi University (JP)
Openalex Percentile: Top 6%
Algebraic Geometry and Number Theory
4.09
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Quartic surfaces with a Galois point and Eisenstein $K3$ surfaces — Shingo Taki, Kei Miura · Rendiconti del Seminario Matematico della Università di Padova (2025) | TGRS Research Map | TGRS