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

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2016
• Автор: Chiba, H.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2016
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147432
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...