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arXiv · 0706.0799

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

Yusuke Sasano
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Abstract

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 Painlevé systems.

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Yusuke Sasano. 2011-02-14. Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables. https://arxiv.org/abs/0706.0799

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