The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2016
• 1. Verfasser: Chiba, H.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2016
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/147432
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ.

The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Ric...