Hypergeometric Groups and Dynamics on K3 Surfaces
Algebraic Geometry
2021-05-03 v4 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.2003.13943,
title = {Hypergeometric Groups and Dynamics on K3 Surfaces},
author = {Katsunori Iwasaki and Yuta Takada},
journal= {arXiv preprint arXiv:2003.13943},
year = {2021}
}
Comments
45 pages, 7 figures, 16 tables; Introduction has been revised to a large extent