On the defining variety and birational canonical transformations of the fourth Painlevé equation

MR1709805 Watanabe, Humihiko Humihiko WATANABE On the defining variety and birational canonical transformations of the fourth Painlevé equation Funkcialaj Ekvacioj. Serio Internacia 42 1999 1--7 http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol42/fe42-1-1.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE41-45-en_KML/fe42-001-007/fe42-001-007.pdf http://www.ams.org/mathscinet-getitem?mr=MR1709805 fe42-001-007 1999 On the Defining Variety and Birational Canonical Transformations of the Fourth Painlevé Equation WATANABE, Humihiko WATANABE, Humihiko 1 Matano, T.; Matumiya, A.; Takano, K., On some Hamiltonian structures of Painlevé systems II, to appear in J. Math. Soc. Japan MR1705251 2 Noumi, M.; Okamoto, K. Irreducibility of the second and the fourth Painlevé equations Funkcial. Ekvac. 40 1997 139-163 MR1454468 1454468 100 Cache/No/Noumi,Irreducibility,Funkcial*,1997,1998

3 Okamoto, K. Sur les feuilletages associés aux équations du second ordre à points critiques fixes de P. Painlevé Japan. J. Math. 5 1979 1-79 MR0614694 100 Cache/Ok/Okamoto,feuilletages,Japan*,1979,1980

4 Okamoto, K. Studies on the Painlevé equations III, second and fourth Painlevé equations, $P_{II}$ and $P_{IV}$ Math. Ann. 275 1986 221-255 MR0854008 77 Cache/Ok/Okamoto,Studies,Math*,1986,1987

5 Umemura, H.; Watanabe, H. Solutions of the second and fourth Painlevé equations I Nagoya Math. J. 148 1997 151-198 MR1492945 100 Cache/Um/Umemura,Solutions,Nagoya*,1997,1998

6 Watanabe, H., Birational canonical transformations and classical solutions of the sixth Painlevé equation, to apear in Ann. Scuola Norm. Sup. Pisa Cl. Sci. MR1678014

7 Matumiya, A. On some Hamiltonian structures of Painlevé Systems, III Kumamoto J. Math. 10 1997 45-73 MR1446392 100 Cache/Ma/Matumiya,Hamiltonian,Kumamoto*,1997,1998

8 Bourbaki, Groupes et algèbres de Lie, Chapitres 4, 5, et 6 Masson, Paris 1981 MR0682756 75 Cache/Bo/Bourbaki,Groupes,*,1981,1982 138