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Integrable Systems in the Realm of Algebraic Geometry: Lecture Notes in Mathematics, cartea 1638

Autor Pol Vanhaecke
en Limba Engleză Paperback – 31 iul 2001

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Specificații

ISBN-13: 9783540423379
ISBN-10: 3540423370
Pagini: 276
Ilustrații: XII, 264 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.39 kg
Ediția:2nd ed. 2001
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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);...

Caracteristici

Includes supplementary material: sn.pub/extras