Prym's theta-function and hierarchies of nonlinear equations

DOI10.1007/BF01156609zbMath0747.14012OpenAlexW2313709427MaRDI QIDQ1177794

Iskander A. Taimanov

Publication date: 26 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01156609

zbMATH Keywords

Prym varietyPrym theta functions4-secant planes of the Kummer varietyhierarchies of nonlinear PDE

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Soliton equations (35Q51) Theta functions and abelian varieties (14K25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Theta functions and curves; Schottky problem (14H42)

Related Items (3)

KP solitons and the Riemann theta functions ⋮ Generic hyperelliptic Prym varieties in a generalized Hénon-Heiles system ⋮ Notes about the KP/BKP correspondence

Cites Work

• On a set of equations characterizing Riemann matrices
• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Quasi-periodic solutions of the orthogonal KP equation. Translation groups for soliton equations. V
• Characterization of Jacobian varieties in terms of soliton equations
• Theta functions on Riemann surfaces
• THE KADOMCEV-PETVIAŠVILI EQUATION AND THE RELATIONS BETWEEN THE PERIODS OF HOLOMORPHIC DIFFERENTIALS ON RIEMANN SURFACES
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