Mathematics – Algebraic Geometry
Scientific paper
2010-09-23
J. Algebra 358 (2012), 16--26
Mathematics
Algebraic Geometry
15 pages
Scientific paper
10.1016/j.jalgebra.2012.02.021
We treat non-symplectic automorphisms on $K3$ surfaces which act trivially on
the N\'{e}ron-Severi lattice. In this paper, we classify non-symplectic
automorphisms of prime-power order, especially 2-power order on $K3$ surfaces,
i.e., we describe their fixed locus.
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