Algebraic and geometric isomonodromic deformations.

DOI10.4310/jdg/1090349280zbMath1043.34098OpenAlexW1496679112WikidataQ115202167 ScholiaQ115202167MaRDI QIDQ1609839

Charles F. Doran

Publication date: 15 August 2002

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1090349280

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Differential and difference algebra (12H99) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (12)

Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions ⋮ Construction and classification of certain algebraic solutions of Garnier systems ⋮ Heun equations coming from geometry ⋮ Classification of algebraic solutions of irregular Garnier systems ⋮ Painlevé equations and complex reflections. ⋮ Schlesinger transformations for algebraic Painlevé VI solutions ⋮ Algebraic isomonodromic deformations of logarithmic connections on the Riemann sphere and finite braid group orbits on character varieties ⋮ Riemann-Hilbert problems for Hurwitz Frobenius manifolds ⋮ Partial algebraic solutions of isomonodromy equations on genus 2 curves ⋮ Computation of highly ramified coverings ⋮ Ramified covers and tame isomonodromic solutions on curves ⋮ Grothendieck’s dessins d’enfants, their deformations, and algebraic solutions of the sixth Painlevé and Gauss hypergeometric equations

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