Champs de vecteurs invariants par translation sur les Jacobiennes affines des courbes spectrales. (Translation-invariant vector fields on affine Jacobians of spectral curves)

DOI10.1016/S1631-073X(03)00283-8zbMath1027.37035MaRDI QIDQ1408241

Baohua Fu

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

spectral curvesaffine Jacobianshyperelliptic casetranslation-invariant vector fields

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by flows and semiflows (37C10) Jacobians, Prym varieties (14H40)

Related Items (1)

Jacobian variety and integrable system -- after Mumford, Beauville and Vanhaecke

Cites Work

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• Jacobiennes des courbes spectrales et systèmes hamiltoniens complètement intégrables. (The Jacobians of spectral curves and completely integrable Hamiltonian systems)
• Linearization of Hamiltonian systems, Jacobi varieties and representation theory
• Completely integrable systems, Euclidean Lie algebras, and curves
• The spectrum of difference operators and algebraic curves
• Tata lectures on theta. III
• Generalized Jacobians of spectral curves and completely integrable systems
• Linearizing Flows and a Cohomological Interpretation of Lax Equations
• Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles

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