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Record Nr. |
UNISA996466373103316 |
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Autore |
Vanhaecke Pol |
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Titolo |
Integrable Systems in the Realm of Algebraic Geometry [[electronic resource] /] / by Pol Vanhaecke |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001 |
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ISBN |
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Edizione |
[2nd ed. 2001.] |
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Descrizione fisica |
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1 online resource (XII, 264 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1638 |
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Classificazione |
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Disciplina |
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Soggetti |
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Dynamics |
Ergodic theory |
Global analysis (Mathematics) |
Manifolds (Mathematics) |
Algebraic geometry |
Mathematical physics |
Dynamical Systems and Ergodic Theory |
Global Analysis and Analysis on Manifolds |
Algebraic Geometry |
Theoretical, Mathematical and Computational Physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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: |
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