Generalized Jacobians of spectral curves and completely integrable systems

DOI10.1007/PL00004701zbMath0922.58033arXivsolv-int/9810001OpenAlexW2025601275MaRDI QIDQ1291044

Lyubomir Gavrilov

Publication date: 14 October 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9810001

zbMATH Keywords

invariant manifoldspectral curveLax paircompletely integrable complex Hamiltonian system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (7)

The monodromy of the Lagrange top and the Picard-Lefschetz formula. ⋮ Jacobians of singular spectral curves and completely integrable systems ⋮ Champs de vecteurs invariants par translation sur les Jacobiennes affines des courbes spectrales. (Translation-invariant vector fields on affine Jacobians of spectral curves) ⋮ An extended Abel-Jacobi map ⋮ Singular fiber of the Mumford system and rational solutions to the KdV hierarchy ⋮ Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems ⋮ A class of integrable flows on the space of symmetric matrices

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