TY  - BOOK
AU  - Vanhaecke,Pol
ED  - SpringerLink (Online service)
TI  - Integrable Systems in the realm of Algebraic Geometry
T2  - Lecture Notes in Mathematics,
SN  - 9783540445760
AV  - QA313 
U1  - 515.39 23
PY  - 2001///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Geometry, algebraic
KW  - Differentiable dynamical systems
KW  - Global analysis
KW  - Mathematical physics
KW  - Dynamical Systems and Ergodic Theory
KW  - Global Analysis and Analysis on Manifolds
KW  - Algebraic Geometry
KW  - Mathematical and Computational Physics
N1  - 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)
UR  - http://dx.doi.org/10.1007/3-540-44576-5
ER  -