The geometry of the classical solutions of the Garnier systems

International Mathematics Research Notices

Volumn , Issue 12, 2002, Pages 613-646

  Mazzocco, Marta ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036361132     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792802106118     Document Type: Article

References (35)

1. The Riemann-Hilbert problem
2. On isomonodromic deformations of Fuchsian systems
3. The Painlevé approach to nonlinear differential equations
4. On the algebro-geometric integration of the Schlesinger equations
5. 1 (C)
6. Painlevé transcendents in two-dimensional topological field theory
7. Monodromy of certain Painlevé-VI transcendents and reflection groups
8. Bi-Hamiltonian hierarchies in 2D topological field theory at one-loop approximation
9. Monodromy- and spectrum-preserving deformations. I
10. Sur les équations différentielles du troisième ordre dont l'intégrale générale est uniforme et sur une classe d'équations nouvelles d'ordre supérieur dont l'intégrale générale a ses points critiques fixes
11. Solution du problème de riemann pour les systèmes différentiels linéaires du second ordre
12. Twistor spaces, Einstein metrics and isomonodromic deformations
13. From Gauss to Painlevé, a modern theory of special functions
14. Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
15. Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I
16. On the polynomial Hamiltonian structure of the Gamier systems
17. On solutions of the Schlesinger equations in terms of θ-functions
18. Integrability, self-duality, and twistor theory
19. Picard and Chazy solutions to PVI equation
20. Painlevé property of monodromy preserving deformation equations and the analyticity of τ functions
21. Isomonodromic deformation and Painlevé equations, and the Gamier system
22. VI
23. On particular solutions of the Gamier systems and the hypergeometric functions of several variables
24. Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme
25. Mémoire sur la théorie des fonctions algébriques de deux variables
26. The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem
27. Uber eine klasse von differentsial system beliebliger ordnung mit festen kritischer punkten
28. Linear differential equations in the complex domain: Problems of analytic continuation
29. Birational automorphism groups and differential equations
30. Irreducibility of the first differential equation of Painlevé
31. Second proof of the irreducibility of the first differential equation of Painlevé
32. Birational canonical transformations and classical solutions of the sixth Painlevé equation