Integrable Systems in the realm of Algebraic Geometry [electronic resource] /

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);...

Bibliographic Details

Main Authors:	Vanhaecke, Pol. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg, 2001
Subjects:	Mathematics., Algebraic geometry., Dynamics., Ergodic theory., Global analysis (Mathematics)., Manifolds (Mathematics)., Physics., Dynamical Systems and Ergodic Theory., Global Analysis and Analysis on Manifolds., Algebraic Geometry., Theoretical, Mathematical and Computational Physics.,
Online Access:	http://dx.doi.org/10.1007/3-540-44576-5
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