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Monodromy preserving deformation of linear differential equations on a rational nodal curve
http://hdl.handle.net/2298/33222
http://hdl.handle.net/2298/332225b02ae4e-7852-4068-8d31-b08916dde9ef
名前 / ファイル | ライセンス | アクション |
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KM0024_001-032.pdf (1.5 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2015-10-06 | |||||
タイトル | ||||||
タイトル | Monodromy preserving deformation of linear differential equations on a rational nodal curve | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | The sixth Painlevé equation, Monodromy, Rational nodal curve | |||||
資源タイプ | ||||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Mano, Toshiyuki
× Mano, Toshiyuki |
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別言語の著者 |
眞野, 智行
× 眞野, 智行 |
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内容記述 | ||||||
内容記述 | We formulate a monodromy preserving deformation (MPD) of Fuchsian differential equations on an irreducible rational curve with one node (which we call a rational nodal curve) and derive systems of differential equations that govern the MPD on the rational nodal curve. We also show that the MPD systems on a rational nodal curve are solved in terms of a solution to the sixth Painlevé equation and a τ-quotient associated with it. The results in this paper provide a geometric background for the asymptotic analysis on the system of differential equations that governs the MPD on elliptic curves around the boundary in the moduli space of elliptic curves. | |||||
書誌情報 |
KUMAMOTO JOURNAL OF MATHEMATICS 巻 24, p. 1-32, 発行年 2011-05 |
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ISSN | ||||||
収録物識別子 | 0914675X | |||||
NCID | ||||||
収録物識別子 | AA10695276 | |||||
フォーマット | ||||||
内容記述 | application/pdf | |||||
形態 | ||||||
1462440 bytes | ||||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
日本十進分類法 | ||||||
主題 | 410 | |||||
出版者 | ||||||
出版者 | 熊本大学 | |||||
資源タイプ | ||||||
内容記述 | 論文(Article) | |||||
資源タイプ・ローカル | ||||||
紀要論文 | ||||||
資源タイプ・NII | ||||||
Departmental Bulletin Paper | ||||||
資源タイプ・DCMI | ||||||
text | ||||||
資源タイプ・ローカル表示コード | ||||||
02 | ||||||
コメント | ||||||
【著者所属】琉球大学 理学部 数理科学科 |