Prym varieties and integrable systems

DOI10.4310/CAG.1997.v5.n2.a3zbMath0920.14010OpenAlexW1620259270MaRDI QIDQ1381003

Yingchen Li, Motohico Mulase

Publication date: 13 May 1998

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.1997.v5.n2.a3

zbMATH Keywords

integrable systemsPrym varietiesalgebra of ordinary differential operatorscohomology vanishing conditionformal loop algebraHeisenberg flowsinfinite-dimensional Grassmanniansmorphisms of algebraic curvestraceless \(n\)-component KP system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Grassmannians, Schubert varieties, flag manifolds (14M15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Jacobians, Prym varieties (14H40) Coverings in algebraic geometry (14E20) Ramification problems in algebraic geometry (14E22)

Related Items (5)

Equations of Hurwitz schemes in the infinite Grassmannian ⋮ Commuting matrix differential operators and loop algebras ⋮ Quantum curves for Hitchin fibrations and the Eynard-Orantin theory ⋮ Characterizations of Jacobians of curves with automorphisms ⋮ Quantum curves

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