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

DOI10.2969/jmsj/1179759538zbMath1110.37046OpenAlexW2059085330MaRDI QIDQ861755

Masaki Suzuki

Publication date: 30 January 2007

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1179759538

zbMATH Keywords

Hamiltonian systemsGarnier systems in two variables

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Painlevé-type functions (33E17)

Related Items

Autonomous limit of the 4-dimensional Painlevé-type equations and degeneration of curves of genus two ⋮ Symmetric solutions for the two dimensional degenerate Garnier system G(5)

Cites Work

• The degeneration of the two dimensional Garnier system and the polynomial Hamiltonian structure
• Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support
• On some Hamiltonian structures of Painlevé systems. II
• AN AUGMENTATION OF THE PHASE SPACE OF THE SYSTEM OF TYPE <i>A</i>₄⁽¹⁾
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