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

preprint2010arXivOpen access

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

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Classification of non-symplectic automorphisms of order 3 on K3K3K3 surfaces

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