Orthogonal curvilinear coordinate systems and torsion-free sheaves over reducible spectral curves

DOI10.1134/s0001434623090250zbMath1530.37096arXiv2308.03732MaRDI QIDQ6063056

Andrey E. Mironov, Iskander A. Taimanov, A. Senninger

Publication date: 7 November 2023

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

Full work available at URL: https://arxiv.org/abs/2308.03732

zbMATH Keywords

finite-gap integrationspectral curveorthogonal curvilinear coordinatestorsion-free sheaf

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

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• Some algebraic examples of Frobenius manifolds
• Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations
• Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations
• Orthogonal curvilinear coordinate systems corresponding to singular spectral curves
• Singular spectral curves in finite-gap integration
• On a discretization of confocal quadrics. I. An integrable systems approach

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