Baxter's equations and algebraic geometry

DOI10.1007/BF01082280zbMath0485.35078OpenAlexW2044670836MaRDI QIDQ1164210

I. M. Krichever

Publication date: 1981

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01082280

zbMATH Keywords

parametrizationBaxter equationsalgebraic-geometrical data

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Families, fibrations in algebraic geometry (14D99)

Related Items (13)

Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems ⋮ New elliptic solutions of the Yang-Baxter equation ⋮ Integrable functional equations and algebraic geometry ⋮ Quadratic Poisson structures ⋮ Cellular automata and statistical mechanical models ⋮ The 16-vertex model and its even and odd 8-vertex subcases on the square lattice ⋮ An Ising-type formulation of the six-vertex model ⋮ An integrable nineteen vertex model lying on a hypersurface ⋮ Unnamed Item ⋮ Pencils of Conics as a Classification Code ⋮ Solutions of the Yang–Baxter equation for (n + 1) (2n + 1)-vertex models using a differential approach ⋮ Integrability and beyond ⋮ Discrete symmetry groups of vertex models in statistical mechanics.

Cites Work

• Integration of nonlinear equations by the methods of algebraic geometry
• Partition function of the eight-vertex lattice model
• Commutative rings of ordinary linear differential operators
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.
• Unnamed Item
• Unnamed Item
• Unnamed Item

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