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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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