ar X iv : 0 80 7 . 37 08 v 2 [ m at h . A G ] 4 S ep 2 00 8 K 3 surfaces with non - symplectic automorphisms of 2 - power order
نویسنده
چکیده
This paper concerns complex algebraic K3 surfaces with an automorphism which acts trivially on the Néron-Severi group. Complementing a result by Vorontsov and Kondō, 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.
منابع مشابه
ar X iv : 0 90 1 . 03 69 v 3 [ m at h . A G ] 3 S ep 2 00 9 ON COX RINGS OF K 3 - SURFACES
We study Cox rings of K3-surfaces. A first result is that a K3surface has a finitely generated Cox ring if and only if its effective cone is rational polyhedral. Moreover, we investigate degrees of generators and relations for Cox rings of K3-surfaces of Picard number two, and explicitly compute the Cox rings of generic K3-surfaces with a non-symplectic involution that have Picard number 2 to 5...
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