Abelian solutions of the soliton equations and Riemann-Schottky problems

DOI10.1070/RM2008V063N06ABEH004576zbMath1164.37021OpenAlexW1995733260MaRDI QIDQ3632949

I. M. Krichever

Publication date: 16 June 2009

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

Full work available at URL: https://doi.org/10.1070/rm2008v063n06abeh004576

zbMATH Keywords

abelian varietysoliton equationRiemann-Schottky problemtrisecant

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) Jacobians, Prym varieties (14H40) 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)

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