Integrable Systems in the Realm of Algebraic Geometry / / by Pol Vanhaecke
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| Autore: |
Vanhaecke Pol
|
| Titolo: |
Integrable Systems in the Realm of Algebraic Geometry / / by Pol Vanhaecke
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001 |
| Edizione: | 2nd ed. 2001. |
| Descrizione fisica: | 1 online resource (XII, 264 p.) |
| Disciplina: | 516.353 |
| Soggetto topico: | Dynamics |
| Ergodic theory | |
| Global analysis (Mathematics) | |
| Manifolds (Mathematics) | |
| Geometry, Algebraic | |
| Mathematical physics | |
| Dynamical Systems and Ergodic Theory | |
| Global Analysis and Analysis on Manifolds | |
| Algebraic Geometry | |
| Theoretical, Mathematical and Computational Physics | |
| Classificazione: | 14K20 |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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);... |
| Titolo autorizzato: | Integrable systems in the realm of algebraic geometry |
| ISBN: | 3-540-44576-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910144598403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1638