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

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

2008-02-14

arxiv.org/abs/0802.1956v2

Mathematics

Algebraic Geometry

19 pages, to appear in Math. Nachr

Scientific paper

10.1002/mana.200810070

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.

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