van Moerbeke, Pierre Introduction to algebraic integrable systems and their PainlevĂ© 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. Cited in 2 ReviewsCited in 2 Documents MSC: 70H05 Hamilton’s equations 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems Keywords:algebraic completely integrable Hamiltonian systems; asymptotic solutions; theory of Abelian varieties Citations:Zbl 0672.00003 PDFBibTeX XML