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Hypergeometric groups and dynamics on K3 surfaces
| Title: | Hypergeometric groups and dynamics on K3 surfaces |
| Authors: | Iwasaki, Katsunori Browse this author →KAKEN DB | | Takada, Yuta Browse this author |
| Keywords: | Hypergeometric groups | | K3 surfaces | | Automorphisms | | Entropy | | Unimodular lattices | | Salem numbers | | Lehmer's number | | Siegel disks |
| Issue Date: | May-2022 |
| Publisher: | Springer |
| Journal Title: | Mathematische zeitschrift |
| Volume: | 301 |
| Issue: | 1 |
| Start Page: | 835 |
| End Page: | 891 |
| Publisher DOI: | 10.1007/s00209-021-02912-6 |
| 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. |
| Rights: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00209-021-02912-6 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/89717 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 岩崎 克則
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