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

arXiv:0802.1956 · doi:10.1002/mana.200810070

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.

19 pages, to appear in Math. Nachr