Integrable equations, addition theorems, and the Riemann-Schottky problem

DOI10.1070/RM2006v061n01ABEH004298zbMath1134.14306OpenAlexW2093565261MaRDI QIDQ5460514

Victor M. Buchstaber, I. M. Krichever

Publication date: 28 April 2008

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2006v061n01abeh004298

zbMATH Keywords

addition theorem for theta functions of Jacobian varietiestrilinear functional equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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) Theta functions and curves; Schottky problem (14H42)

Related Items (12)

Solution of functional equations related to elliptic functions. II ⋮ Unnamed Item ⋮ Solution of functional equations related to elliptic functions ⋮ Singular solitons and spectral meromorphy ⋮ On a multilinear functional equation ⋮ Quasi-periodic waves to the defocusing nonlinear Schrödinger equation ⋮ Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation ⋮ Calculation of hyperelliptic systems of sequences of rank 4 ⋮ Hyperquasipolynomials and their applications ⋮ Functional equations and Weierstrass sigma-functions ⋮ Hyperelliptic systems of sequences of rank 4 ⋮ Viktor Matveevich Buchstaber (on his 70th birthday)

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