Isomonodromic deformations with an irregular singularity and hyperelliptic curves

DOI10.1088/1751-8113/43/11/115205zbMath1196.34115arXiv0808.3081OpenAlexW3099565751MaRDI QIDQ3550160

Kazuhide Matsuda

Publication date: 31 March 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3081

zbMATH Keywords

classificationsingularitiessingular pointslimit cyclesmonodromynormal formshierarchiesisomonodromic deformationsconnection matrixStokes multiplierslocation of integral curveslocal behavior of solutionsentire and meromorphic solutionsPainlevé and other special equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

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