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

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Taki, Shingo
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Abstract
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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 N\'{e}ron-Severi lattice. In particular we shall characterize their fixed locus in terms of the invariants of 3-elementary lattices.
Comment: 19 pages, to appear in Math. Nachr
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Mathematics - Algebraic Geometry, 14J28, 14J50
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