Structure and duality of \(\mathcal D\)-modules related to KP hierarchy

DOI10.2969/jmsj/04340751zbMath0764.58014OpenAlexW2082734584MaRDI QIDQ1184412

Toshikazu Miyajima, Kanehisa Takasaki, Atsushi Nakayashiki

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.2969/jmsj/04340751

zbMATH Keywords

dualityprojectivity\({\mathcal D}\)-modulespseudo-differential operatordifferential-algebraic varietyglobal vector fieldKP hiearchyuniversal Grassmannian manifold

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Grassmannians, Schubert varieties, flag manifolds (14M15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Theta functions and abelian varieties (14K25) Infinite-dimensional manifolds (58B99) Equations in function spaces; evolution equations (58D25)

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