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Vanhaecke

Integrable Systems in the Realm of Algebraic Geometry

Medium: Buch
ISBN: 978-3-540-42337-9
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 31.07.2001
Lieferfrist: bis zu 10 Tage

n. 150. 2.4. The KP vector fields. 152. ix 3. Multi-Hamiltonian structure and symmetries. 155. 3.1. The loop algebra 9(q. 155. 3.2. Reducing the R-brackets and the vector field ~. 157. 4. The odd and the even Mumford systems. 161. 4.1. The (odd) Mumford system. 161. 4.2. The even Mumford system. 163.


Produkteigenschaften


  • Artikelnummer: 9783540423379
  • Medium: Buch
  • ISBN: 978-3-540-42337-9
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 31.07.2001
  • Sprache(n): Englisch
  • Auflage: 2. Auflage 2001
  • Serie: Lecture Notes in Mathematics
  • Produktform: Kartoniert
  • Gewicht: 420 g
  • Seiten: 264
  • Format (B x H x T): 155 x 233 x 16 mm
  • Ausgabetyp: Kein, Unbekannt
  • Vorauflage: 978-3-540-61886-7
Autoren/Hrsg.

Autoren

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);.