Algebraic integrability: a survey

DOI10.1098/rsta.2007.2066zbMath1153.37422OpenAlexW2097474878WikidataQ51911884 ScholiaQ51911884MaRDI QIDQ5503954

Pol Vanhaecke

Publication date: 21 January 2009

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2007.2066

zbMATH Keywords

abelian varietiesPoisson manifoldsalgebraic integrability

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) Poisson manifolds; Poisson groupoids and algebroids (53D17) 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) Abelian varieties and schemes (14K99)

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