AI 中文总结
本文解决了复费马四次K3曲面自同构群生成元的长期公开问题,明确给出该群的16个有限阶几何生成元。
AI 中文摘要
寻找复费马四次K3曲面的自同构群生成元是长期存在的公开问题,此前甚至连生成元的明确数量都未知。本文首次解决该问题,明确给出该群的16个有限阶几何生成元。
英文摘要
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.
Comments19 pages