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Introduction to algebraic integrable systems and their Painlevé analysis. (English) Zbl 0688.70012

Theta functions, Proc. 35th Summer Res. Inst. Bowdoin Coll., Brunswick/ME 1987, Proc. Symp. Pure Math. 49, Pt. 1, 107-131 (1989).
Summary: [For the entire collection see Zbl 0672.00003.]
The purpose of this lecture is to demonstrate the rich interaction between the properties of algebraic completely integrable Hamiltonian systems, the geometry of its asymptotic solutions, and the theory of Abelian varieties.

MSC:

70H05 Hamilton’s equations
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems

Citations:

Zbl 0672.00003