Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables

Details Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables

2007-06-06

arxiv.org/abs/0706.0799v6

Mathematics

Algebraic Geometry

40 pages, 1 figure

Scientific paper

We present {\it symmetric Hamiltonians} for the degenerate Garnier systems in two variables. For these symmetric Hamiltonians, we make the symmetry and holomorphy conditions, and we also make a generalization of these systems involving symmetry and holomorphy conditions inductively. We also show the confluence process among each system by taking the coupling confluence process of the Painlev\'e systems.

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