Universal isomonodromic deformations of meromorphic rank 2 connections on curves

DOI10.5802/aif.2531zbMath1193.32009OpenAlexW4323927747MaRDI QIDQ978566

Viktoria Heu

Publication date: 25 June 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116280

zbMATH Keywords

isomonodromic deformationmeromorphic connection

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Linear and affine connections (53B05) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items

Normal forms for rank two linear irregular differential equations and moduli spaces ⋮ Isomonodromic deformations of logarithmic connections and stability ⋮ Isomonodromic deformations and very stable vector bundles of rank two ⋮ Classification of algebraic solutions of irregular Garnier systems ⋮ Ramified covers and tame isomonodromic solutions on curves ⋮ ALGEBRAIC ISOMONODROMIC DEFORMATIONS AND THE MAPPING CLASS GROUP ⋮ Unfolding of the unramified irregular singular generalized isomonodromic deformation

Cites Work

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• Modules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)
• Isomonodromic deformations, Liouville form, \(\tau \) function.
• Meromorphic connections. II: The canonic grid
• Equations différentielles à points singuliers réguliers
• Poisson structures and their normal forms
• Zeros of the Jimbo, Miwa, Ueno tau function
• Linear meromorphic differential equations: A modern point of view
• TRANSVERSELY PROJECTIVE FOLIATIONS ON SURFACES: EXISTENCE OF MINIMAL FORM AND PRESCRIPTION OF MONODROMY
• On the Volume Elements on a Manifold