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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B78-02.pdf | 164.9 kB | Adobe PDF | 見る/開く |
| タイトル: | The Painlevé divisors of the autonomous 4-dimensional Painlevé-type equations (Mathematical structures of integrable systems and their applications) |
| 著者: | Nakamura, Akane |
| 著者名の別形: | 中村, あかね |
| キーワード: | 33E17 14H70 integrable system Painleve equations Kowalewski-Painleve analysis |
| 発行日: | Apr-2020 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B78 |
| 開始ページ: | 29 |
| 終了ページ: | 51 |
| 抄録: | Following [1], we consider compactification of the Liouville tori for the autonomous 4-dimensional Painlevé-type equations by adjoining the Painlevé divisors. We can see that thegenus 2 components of the Painlevé divisors are all isomorphic to the corresponding spectralcurve. We illustrate the motivating examples for [21], which asserts that the genus 2 curvesare uniquely determined by the Liouville tori of the autonomous 4-dimensional Painlevé-typeequations. This may enable us to recover a linear problem from the nonlinear integrablesystems. |
| 記述: | "Mathematical structures of integrable systems and their applications". September 5-7, 2018. edited by Shinsuke Iwao. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/260629 |
| 出現コレクション: | B78 Mathematical structures of integrable systems and their applications |
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