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20182026
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math.AG2026

Quasi-Galois points for quartic surfaces

Kei Miura, Shingo Taki

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 cer…

math.AG2026

Weighted Galois points for surfaces in

Shingo Taki

This paper introduces a generalization of classical Galois points by extending the ambient space from standard projective spaces to weighted projective spaces. Specifically, the st…

math.AG2024

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

Kei Miura, Shingo Taki

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. Furthermor…

math.AG2023

Quartic surfaces with a Galois point and Eisenstein K3 surfaces

Kei Miura, Shingo Taki

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 char…

math.AG2018

Automorphisms of K3 surfaces and their applications

Shingo Taki

This paper is a survey about surfaces with an automorphism and log rational surfaces, in particular, log del Pezzo surfaces and log Enriques surfaces. It is also a reproductio…

math.AG2018

Log Enriques surfaces of index 7 and type

Shingo Taki

We show that there is only one log Enriques surface of index 7 and type .