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Integrable Systems in the Realm of Algebraic Geometry [[electronic resource] /] / by Pol Vanhaecke
| Integrable Systems in the Realm of Algebraic Geometry [[electronic resource] /] / by Pol Vanhaecke |
| Autore | Vanhaecke Pol |
| Edizione | [2nd ed. 2001.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001 |
| Descrizione fisica | 1 online resource (XII, 264 p.) |
| Disciplina | 516.353 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
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 |
| ISBN | 3-540-44576-5 |
| Classificazione | 14K20 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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);... |
| Record Nr. | UNISA-996466373103316 |
Vanhaecke Pol
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Integrable Systems in the Realm of Algebraic Geometry / / by Pol Vanhaecke
| Integrable Systems in the Realm of Algebraic Geometry / / by Pol Vanhaecke |
| Autore | Vanhaecke Pol |
| Edizione | [2nd ed. 2001.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001 |
| Descrizione fisica | 1 online resource (XII, 264 p.) |
| Disciplina | 516.353 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Dynamics
Global analysis (Mathematics) Manifolds (Mathematics) Geometry, Algebraic Mathematical physics Dynamical Systems Global Analysis and Analysis on Manifolds Algebraic Geometry Theoretical, Mathematical and Computational Physics |
| ISBN | 3-540-44576-5 |
| Classificazione | 14K20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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);... |
| Record Nr. | UNINA-9910144598403321 |
|
Vanhaecke Pol
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Integrable systems in the realm of algebraic geometry / / Pol Vanhaecke
| Integrable systems in the realm of algebraic geometry / / Pol Vanhaecke |
| Autore | Vanhaecke Pol <1963-> |
| Edizione | [1st ed. 1996.] |
| Pubbl/distr/stampa | Berlin, Germany : , : Springer, , [1996] |
| Descrizione fisica | 1 online resource (VIII, 220 p.) |
| Disciplina | 510 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Abelian varieties |
| ISBN | 3-662-21535-7 |
| Classificazione | 14K20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | I. Introduction -- II. Integrable Hamiltonian systems on affine Poisson varieties -- III. Integrable Hamiltonian systems and symmetric products of curves -- IV. Interludium: the geometry of Abelian varieties -- V. Algebraic completely integrable Hamiltonian systems -- VI. The master systems -- VII. The Garnier and Hénon-Heiles potentials and the Toda lattice -- References. |
| Record Nr. | UNISA-996466596203316 |
|
Vanhaecke Pol <1963->
|
||
| Berlin, Germany : , : Springer, , [1996] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||