Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system

DOI10.1007/s00220-006-0028-yzbMath1170.37332arXivmath-ph/0501048OpenAlexW3100775692MaRDI QIDQ863137

Rei Inoue, Takao Yamazaki

Publication date: 25 January 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0501048

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (2)

Jacobian variety and integrable system -- after Mumford, Beauville and Vanhaecke ⋮ Bounds for the stalks of perverse sheaves in characteristic \(p\) and a conjecture of Shende and Tsimerman

Cites Work

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• The complex geometry of the Kowalewski-Painlevé analysis
• Linearising two-dimensional integrable systems and the construction of action-angle variables
• Dressing chains and the spectral theory of the Schrödinger operator
• Nonlinear chains and Painlevé equations
• Spectral curve, Darboux coordinates and Hamiltonian structure of periodic dressing chains
• Sheaves in topology
• Symmetric products of an algebraic curve
• On the singularities of the theta divisors on Jacobians
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Cohomologies of affine hyperelliptic Jacobi varieties and integrable systems
• Integrable systems in the realm of algebraic geometry.
• Hyperelliptic Prym varieties and integrable systems

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