Integrable Systems in the realm of Algebraic Geometry [electronic resource] / by Pol Vanhaecke.
Material type: TextSeries: Lecture Notes in Mathematics ; 1638Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2001Edition: Second EditionDescription: XII, 264 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540445760Subject(s): Mathematics | Geometry, algebraic | Differentiable dynamical systems | Global analysis | Mathematical physics | Mathematics | Dynamical Systems and Ergodic Theory | Global Analysis and Analysis on Manifolds | Algebraic Geometry | Mathematical and Computational PhysicsAdditional physical formats: Printed edition:: No titleDDC classification: 515.39 | 515.48 LOC classification: QA313Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1267 |
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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