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Your search keyword '"Shingo TAKI"' showing total 8 results
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8 results on '"Shingo TAKI"'

2. SINGULARITIES OF QUOTIENT SURFACES OF K3 SURFACES WITH AN AUTOMORPHISM OF MAXIMUM ORDER.

Author

SHINGO TAKI

Subjects
QUOTIENT rings, AUTOMORPHISM groups, MATHEMATICAL singularities, LOCUS (Mathematics), MATHEMATICAL functions
Abstract

We study cyclic quotient singularities given by automorphisms of maximum order on K3 surfaces. In particular, we describe fixed loci of such automorphisms, and provide types of these singularities. [ABSTRACT FROM AUTHOR]

Published
2023

3. Non-purely non-symplectic automorphisms of order 6 on $K3$ surfaces

Author

Nirai Shin-yashiki and Shingo Taki

Subjects
Pure mathematics, General Mathematics, Order (group theory), Automorphism, Quantitative Biology::Genomics, Mathematics::Symplectic Geometry, K3 surface, Mathematics, Symplectic geometry
Abstract

In this paper we study non-symplectic automorphisms of order 6 on $K3$ surfaces which are not purely. In particular we shall describe their fixed loci.

Published
2021
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5. On Oguiso’s K3 surface

Author

Shingo Taki

Subjects
Algebra, Pure mathematics, Mathematics::Algebraic Geometry, Algebra and Number Theory, Automorphism, Mathematics::Symplectic Geometry, Mathematics, K3 surface
Abstract

It is known that a non-symplectic automorphism of order 32 on a K 3 surface does not act trivially on the Neron–Severi lattice. Oguiso gave an example of a K 3 surface with a non-symplectic automorphism of order 32 which acts on the Neron–Severi lattice as an involution. In this paper, we prove that a pair of a K 3 surface and its non-symplectic automorphism of order 32 is isomorphic to Oguiso’s example.

Published
2014
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6. Classification of non-symplectic automorphisms on K3 surfaces which act trivially on the Néron–Severi lattice

Author

Shingo Taki

Subjects
Combinatorics, 14J28, 14J50, Mathematics - Algebraic Geometry, Mathematics::Algebraic Geometry, Algebra and Number Theory, Automorphisms of the symmetric and alternating groups, Non-symplectic automorphism, Locus (mathematics), Automorphism, Mathematics::Symplectic Geometry, Mathematics, Symplectic geometry, K3 surface
Abstract

We treat non-symplectic automorphisms on $K3$ surfaces which act trivially on the N\'{e}ron-Severi lattice. In this paper, we classify non-symplectic automorphisms of prime-power order, especially 2-power order on $K3$ surfaces, i.e., we describe their fixed locus., Comment: 15 pages

Published
2012
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7. Non-symplectic automorphisms of 3-power order on $K3$ surfaces

Author

Shingo Taki

Subjects
Discrete mathematics, 14J50, Pure mathematics, 411.8, Automorphisms of the symmetric and alternating groups, General Mathematics, Outer automorphism group, Automorphism, K3 surface, $K3$ surface, Mathematics::Algebraic Geometry, non-symplectic automorphism, Locus (mathematics), Algebraic number, Mathematics::Symplectic Geometry, 14J28, Symplectic geometry, Mathematics
Abstract

We classify non-symplectic automorphisms of 3-power order on algebraic $K3$ surfaces which act trivially on the Neron-Severi lattice, i.e., we describe their fixed locus. Moreover we give Weierstrass equations of $K3$ surfaces with a non-symplectic automorphism of 3-power order.

Published
2010

8. RATIONALITY OF THE MODULI SPACES OF EISENSTEIN K3 SURFACES.

Author

SHOUHEI MA, HISANORI OHASHI, and SHINGO TAKI

Subjects
MODULI theory, TOPOLOGY, EISENSTEIN series, GEOMETRIC surfaces, QUOTIENT rings
Abstract

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 those moduli spaces are rational. [ABSTRACT FROM AUTHOR]

Published
2015
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