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arXiv · 2608.18535

Sixteen generators of the automorphism group of the Fermat quartic surface

JongHae Keum·Keiji Oguiso·Xun Yu
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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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JongHae Keum, Keiji Oguiso, Xun Yu. 2026-08-19. Sixteen generators of the automorphism group of the Fermat quartic surface. https://arxiv.org/abs/2608.18535

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