Integrable Systems in the realm of Algebraic Geometry

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Vanhaecke, Pol, 1963-...., mathématicien
Fformat: Livre numérique
Iaith:Anglais
Cyhoeddwyd: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Cyfres:Lecture notes in mathematics 1638
Pynciau:
Mynediad Ar-lein:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nodyn: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Integrable systems in the realm of algebraic geometry, Pol Vanhaecke, 2nd ed., 2001, Berlin, Springer, 1 vol. (X-256 p.), Lecture notes in mathematics, 3-540-42337-0
• Integrable Systems in the Realm of Algebraic Geometry, Texte imprimé, 9783662177969
Tabl Cynhwysion:
  • Introduction
  • Integrable Hamiltonian systems on affine Poisson varietie: Affine Poisson varieties and their morphisms; Integrable Hamiltonian systems and their morphisms; Integrable Hamiltonian systems on other spaces
  • Integrable Hamiltonian systems and symmetric products of curves: The systems and their integrability; The geometry of the level manifolds
  • Interludium: the geometry of Abelian varieties: Divisors and line bundles; Abelian varieties; Jacobi varieties; Abelian surfaces of type (1,4)
  • Algebraic completely integrable Hamiltonian systems: A.c.i. systems; Painlev analysis for a.c.i. systems; The linearization of two-dimensional a.c.i. systems; Lax equations
  • The Mumford systems: Genesis; Multi-Hamiltonian structure and symmetries; The odd and the even Mumford systems; The general case
  • Two-dimensional a.c.i. systems and applications: The genus two Mumford systems; Application: generalized Kummersurfaces; The Garnier potential; An integrable geodesic flow on SO(4);...