Algebraic Spectral Curves over Q and their Tau-Functions

DOI10.1017/9781108773355.003zbMath1484.14073arXiv1807.11258OpenAlexW3158600926MaRDI QIDQ5164744

B. A. Dubrovin

Publication date: 12 November 2021

Full work available at URL: https://arxiv.org/abs/1807.11258

zbMATH Keywords

Riemann theta functionRiemann surfacesintegrable hierarchiestau-functions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Theta functions and abelian varieties (14K25) Relationships between algebraic curves and integrable systems (14H70)

Related Items (3)

The matrix-resolvent method to tau-functions for the nonlinear Schrödinger hierarchy ⋮ From wave functions to tau-functions for the Volterra lattice hierarchy ⋮ The constrained KP hierarchy and the bigraded Toda hierarchy of \((M, 1)\)-type

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