Quartic surfaces with an outer Galois point and K3 surfaces with an automorphism of order 4

2024/08/08 by Kei Miura, Miura, Kei, Shingo Taki +1
Computer Science · Mathematics · #14J28 #14J50 #14J70 (Primary) #14N05 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2408.04137

openalex publication_date 2024/08/08 · openalex created_date 2024/11/01 · openalex updated_date 2026/07/28

Abstract

We prove that there exists a one-to-one correspondence between smooth quartic surfaces with an outer Galois point and K3 surfaces with a certain automorphism of order 4. Furthermore, we characterize quartic surfaces with two or more outer Galois points as K3 surfaces.

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