Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants

DOI10.1215/00127094-2010-014zbMath1217.14022arXiv0705.2829OpenAlexW2034890278MaRDI QIDQ968953

I. M. Krichever, Samuel Grushevsky

Publication date: 11 May 2010

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

Full work available at URL: https://arxiv.org/abs/0705.2829

zbMATH Keywords

Schrödinger equationsPrym varietiesSchottky problemquadrisecants

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Jacobians, Prym varieties (14H40)

Related Items (11)

Some recent generalizations of the classical rigid body systems ⋮ The Green function of the discrete finite-gap one-energy two-dimensional Schrödinger operator on the quad graph ⋮ Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system ⋮ Toda lattice with constraint of type B ⋮ A sufficient nonsingularity condition for a discrete finite-gap one-energy two-dimensional Schrödinger operator on the quad-graph ⋮ Abelian pole systems and Riemann-Schottky-type problems ⋮ Tau-function of the B-Toda hierarchy ⋮ The Green's function of a five-point discretization of a two-dimensional finite-gap Schrödinger operator: the case of four singular points on the spectral curve ⋮ The dressing chain and one-point commuting difference operators of rank 1 ⋮ Characterizations of Jacobians of curves with automorphisms ⋮ The Gauss map and secants of the Kummer variety

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