Spaces of initial conditions of Garnier system and its degenerate systems in two variables

Masaki Suzuki

doi:10.2969/jmsj/1179759538

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Spaces of initial conditions of Garnier system and its degenerate systems in two variables

Masaki Suzuki

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Keywords: Garnier systems, degenerate Garnier systems, spaces of initial conditions

JOURNAL FREE ACCESS

2006 Volume 58 Issue 4 Pages 1079-1117

DOI https://doi.org/10.2969/jmsj/1179759538

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Abstract

We construct spaces of initial conditions of Garnier system and its degenerate systems in two variables and describe them as symplectic manifolds. These systems are expressed as polynomial Hamiltonian systems on all affine charts.

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