Hypergeometric groups and dynamics on K3 surfaces
Hypergeometric groups and dynamics on K3 surfaces
复制标题
K3 曲面上的超几何群和动力学
DOI：
10.1007/s00209-021-02912-6
复制
发表时间：
2022
影响因子：
0.8
通讯作者：
Takada Yuta
中科院分区：
文献类型：
--
作者：
Iwasaki Katsunori;Takada Yuta
超几何群是以广义超几何微分方程的单值群为模型的矩阵群。本文通过证明一类超几何群及其相关格导致了大量正熵的K3曲面自同构，特别是Siegel圆盘的自同构，展示了超几何群理论与K3曲面上动力学之间富有成效的相互作用.
A hypergeometric group is a matrix group modeled on the monodromy group of a generalized hypergeometric differential equation. This article presents a fruitful interaction between the theory of hypergeometric groups and dynamics on K3 surfaces by showing that a certain class of hypergeometric groups and related lattices lead to a lot of K3 surface automorphisms of positive entropy, especially such automorphisms with Siegel disks.