Integrable systems and Riemann surfaces of infinite genus

DOI10.1090/memo/0581zbMath0867.58038arXivsolv-int/9412006OpenAlexW2097592333MaRDI QIDQ4890862

Martin Ulrich Schmidt

Publication date: 10 August 1997

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

Full work available at URL: https://arxiv.org/abs/solv-int/9412006

zbMATH Keywords

integrable systemsPicard groupRiemann surfaces of infinite genuscomplete integrabilityDarboux coordinatesspectral curvedivisorsholomorphic line bundlesSerre dualityeigenbundles

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Singularities of curves, local rings (14H20) Theta functions and curves; Schottky problem (14H42)

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