Integrable Systems in the Realm of Algebraic Geometry by Pol Vanhaecke.

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Bibliographic Details
Main Author:	Vanhaecke, Pol (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
Edition:	2nd ed. 2001.
Series:	Lecture Notes in Mathematics, 1638 Springer eBook Collection.
Subjects:	Dynamics. Ergodic theory. Global analysis (Mathematics). Manifolds (Mathematics). Algebraic geometry. Mathematical physics. Electronic resources (E-books)
Online Access:	Click to view e-book
Holy Cross Note:	Loaded electronically. Electronic access restricted to members of the Holy Cross Community.

Table of Contents:

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);...

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