K3 surfaces with an order 60 automorphism

Details K3 surfaces with an order 60 automorphism K3 surfaces with an order 60 automorphism

2012-04-08

arxiv.org/abs/1204.1711v3

Mathematics

Algebraic Geometry

12 pages

Scientific paper

In characteristic $p=0$ or $p>5$, we show that a K3 surface with an order 60
automorphism is unique up to isomorphism. As a consequence, the Fermat quartic
surface in characteristic $p=11$ mod 12 is characterized by a cyclic symmetry
of order 60.

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