Open Access
October 2010 Non-symplectic automorphisms of 3-power order on $K3$ surfaces
Shingo Taki
Proc. Japan Acad. Ser. A Math. Sci. 86(8): 125-130 (October 2010). DOI: 10.3792/pjaa.86.125

Abstract

We classify non-symplectic automorphisms of 3-power order on algebraic $K3$ surfaces which act trivially on the Néron-Severi lattice, i.e., we describe their fixed locus. Moreover we give Weierstrass equations of $K3$ surfaces with a non-symplectic automorphism of 3-power order.

Citation

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Shingo Taki. "Non-symplectic automorphisms of 3-power order on $K3$ surfaces." Proc. Japan Acad. Ser. A Math. Sci. 86 (8) 125 - 130, October 2010. https://doi.org/10.3792/pjaa.86.125

Information

Published: October 2010
First available in Project Euclid: 4 October 2010

zbMATH: 1208.14032
MathSciNet: MR2721856
Digital Object Identifier: 10.3792/pjaa.86.125

Subjects:
Primary: 14J28
Secondary: 14J50

Keywords: $K3$ surface , non-symplectic automorphism

Rights: Copyright © 2010 The Japan Academy

Vol.86 • No. 8 • October 2010
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