Integrable Systems in the realm of Algebraic Geometry

Inhaltsverzeichnis

• 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.