Sixteen generators of the automorphism group of the Fermat quartic surface
JongHae Keum, Keiji Oguiso, Xun Yu
Abstract
It has been a long standing open problem to find generators of the automorphism group of the complex Fermat quartic K3 surface; in fact, even an explicit number of generators has not been known before. In this paper, we provide the first solution to this problem, presenting 16 geometric generators of finite order for this group explicitly.
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