K3 surfaces with non-symplectic automorphisms of 2-power order

Details K3 surfaces with non-symplectic automorphisms of 2-power order K3 surfaces with non-symplectic automorphisms of 2-power order

2008-07-23

arxiv.org/abs/0807.3708v3

Mathematics

Algebraic Geometry

19 pages, 1 figure; v3: exposition improved thanks to referee's comments

Scientific paper

This paper concerns complex algebraic K3 surfaces with an automorphism which
acts trivially on the Neron-Severi group. Complementing a result by Vorontsov
and Kondo, we determine those K3 surfaces where the order of the automorphism
is a 2-power and equals the rank of the transcendental lattice. We also study
the arithmetic of these K3 surfaces and comment on mirror symmetry

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