Pencils of Conics as a Classification Code

DOI10.1007/978-3-0348-0448-6_27zbMath1274.14041OpenAlexW2147247400MaRDI QIDQ4915633

Vladimir Dragović

Publication date: 11 April 2013

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0448-6_27

zbMATH Keywords

Yang-Baxter equationPetrov classificationpencil of conicsdiscrinantly separable polynomialsintegrable quad-graphsquadrirational maps

Mathematics Subject Classification ID

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) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

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• Discrete nonlinear hyperbolic equations. Classification of integrable cases
• Geometrization and generalization of the Kowalevski top
• Baxter's equations and algebraic geometry
• Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings
• Systems of Kowalevski type and discriminantly separable polynomials
• Poncelet Porisms and Beyond

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