The First Painleve Equation on the Weighted Projective Space - Collections

＜preprint＞
The First Painleve Equation on the Weighted Projective Space

Creator	Creator Name Chiba, Hayato 千葉, 逸人チバ, ハヤト Affiliation Affiliation Name Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2013-11-08
Source Title	MI Preprint Series
Vol	2013-13
Publication Type	Author's Original
Access Rights	open access
Related DOI	MI Preprint Series \|\| 2013-13 \|\| p1-25
Related DOI	http://www.math.kyushu-u.ac.jp/
Related URI	MI Preprint Series \|\| 2013-13 \|\| p1-25
Related URI	http://www.math.kyushu-u.ac.jp/
Relation	MI Preprint Series \|\| 2013-13 \|\| p1-25
Relation	http://www.math.kyushu-u.ac.jp/
Abstract	The first Painleve equation is expressed as a vector field on the three dimensional weighted projective space CP^3(3,2,4,5). With the aid of the dynamical systems theory and the orbifold structure of ...CP^3(3,2,4,5), a simple proof of the Painleve property and the construction of the space of initial conditions are given.In particular, Painleve's transformation is geometrically derived, which proves to be a Darboux coordinates of a certain algebraic surface with a holomorphic symplectic form.show more

File	FileType	Size	Views	Description
MI2013-13	pdf	187 KB	255

Record ID	1263084
Peer-Reviewed	Unrefereed
Notes	Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	プレプリント
Created Date	2013.12.02
Modified Date	2020.09.30