2008•Unpublished venueOpen access

Classification of non-symplectic automorphisms of order 3 on $K3$ surfaces

Shingo Taki

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Abstract

In this paper, we study non-symplectic automorphisms of order 3 on algebraic $K3$ surface over $\mathbb{C}$ which act trivially on the Néron-Severi lattice. In particular we shall characterize their fixed locus in terms of the invariants of 3-elementary lattices.

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In this paper, we study non-symplectic automorphisms of order 3 on algebraic $K3$ surface over $\mathbb{C}$ which act trivially on the Néron-Severi lattice. In particular we shall characterize their fixed locus in terms of the invariants of 3-elementary lattices.

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Available abstract

In this paper, we study non-symplectic automorphisms of order 3 on algebraic $K3$ surface over $\mathbb{C}$ which act trivially on the Néron-Severi lattice. In particular we shall characterize their fixed locus in terms of the invariants of 3-elementary lattices.

Key concepts: Symplectic geometry, Mathematics, Automorphism, Pure mathematics, Order (exchange), Automorphism group, Locus (genetics), Lattice (music)

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