Uniqueness of Polarization for the Autonomous 4-dimensional Painlevé-type Systems

DOI10.1093/imrn/rnaa037zbMath1491.34099arXiv1910.14168OpenAlexW3007285781MaRDI QIDQ5021488

Akane Nakamura, Eric M. Rains

Publication date: 13 January 2022

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

Full work available at URL: https://arxiv.org/abs/1910.14168

zbMATH Keywords

integrable systemsspectral curveLax pairGarnier systemTorelli's theoremLiouville torusPainlevé divisorsPainlevé type integral system

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) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Relationships between algebraic curves and integrable systems (14H70) Surfaces and higher-dimensional varieties (14J99) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Torelli problem (14C34)

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