K3 surfaces with an order 50 automorphism
Algebraic Geometry
2015-02-06 v1
Abstract
In any characteristic different from 2 and 5, Kond\=o gave an example of a K3 surface with a purely non-symplectic automorphism of order 50. The surface was explicitly given as a double plane branched along a smooth sextic curve. In this note we show that, in any characteristic , a K3 surface with a cyclic action of order 50 is isomorphic to the example of Kond\=o.
Cite
@article{arxiv.1502.01448,
title = {K3 surfaces with an order 50 automorphism},
author = {JongHae Keum},
journal= {arXiv preprint arXiv:1502.01448},
year = {2015}
}
Comments
7 pages. arXiv admin note: substantial text overlap with arXiv:1402.6803, arXiv:1204.1711