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arXiv · 2003.13943

Hypergeometric Groups and Dynamics on K3 Surfaces

Katsunori Iwasaki·Yuta Takada
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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.

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Katsunori Iwasaki, Yuta Takada. 2020-03-31. Hypergeometric Groups and Dynamics on K3 Surfaces. https://arxiv.org/abs/2003.13943

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