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＜E-Book＞
Integrable Systems in the Realm of Algebraic Geometry / by Pol Vanhaecke
(Lecture Notes in Mathematics. ISSN:16179692 ; 1638)

Edition	2nd ed. 2001.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2001
Language	English
Size	XII, 264 p : online resource
Authors	*Vanhaecke, Pol author SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Algebraic geometry LCSH:Mathematical physics FREE:Dynamical Systems FREE:Global Analysis and Analysis on Manifolds FREE:Algebraic Geometry FREE:Theoretical, Mathematical and Computational Physics
Notes	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);... HTTP:URL=https://doi.org/10.1007/3-540-44576-5

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