Algebro-Geometric Solutions of the Schlesinger Systems and the Poncelet-Type Polygons in Higher Dimensions

DOI10.1093/imrn/rnx015zbMath1407.37093arXiv1506.06301OpenAlexW2963520145MaRDI QIDQ4619409

Vladimir Dragović, Vasilisa Shramchenko

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06301

zbMATH Keywords

algebro-geometric solutionsPainlevé VI equationSchlesinger systems

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (4)

Algebro-geometric approach to an Okamoto transformation, the Painlevé VI and Schlesinger equations ⋮ Deformations of the Zolotarev polynomials and Painlevé VI equations ⋮ Note on algebro-geometric solutions to triangular Schlesinger systems ⋮ Triangular Schlesinger systems and superelliptic curves

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