29 citations · 58 across the 13 of their papers we have counts for
13 papers
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…
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…
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…
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…
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…
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 .
Remarks on K3 surfaces with non-symplectic automorphisms of order 7
Shingo Taki
In this note, we treat a pair of a K3 surface and a non-symplectic automorphism of order 7m (m=1, 3 and 6) on it. We show that if the fixed locus of a non-symplectic automorphism o…
Classification of order sixteen non-symplectic automorphisms on K3 surfaces
Dima Al Tabbaa, Alessandra Sarti, Shingo Taki
We classify K3 surfaces with non-symplectic automorphism of order 16 in full generality. We show that the fixed locus contains only rational curves and points and we completely cla…
Rationality of the moduli spaces of Eisenstein K3 surfaces
Shouhei Ma, Hisanori Ohashi, Shingo Taki
K3 surfaces with non-symplectic symmetry of order 3 are classified by open sets of twenty-four complex ball quotients associated to Eisenstein lattices. We show that twenty-two of…
K3 surfaces and log del Pezzo surfaces of index three
Hisanori Ohashi, Shingo Taki
We use classification of non-symplectic automorphisms of K3 surfaces to obtain a partial classification of log del Pezzo surfaces of index three. We can classify those with "Multip…
Classification of non-symplectic automorphisms on K3 surfaces which act trivially on the Néron-Severi lattice
Shingo Taki
We treat non-symplectic automorphisms on surfaces which act trivially on the Néron-Severi lattice. In this paper, we classify non-symplectic automorphisms of prime-power order…
K3 surfaces with non-symplectic automorphisms of prime order
Michela Artebani, Alessandra Sarti, Shingo Taki
In this note we present the classification of non-symplectic automorphisms of prime order on K3 surfaces, i.e.we describe the topological structure of their fixed locus and determi…
Classification of non-symplectic automorphisms of order 3 on surfaces
Shingo Taki
In this paper, we study non-symplectic automorphisms of order 3 on algebraic surface over which act trivially on the Néron-Severi lattice. In particular we shall…