A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions

DOI10.5802/afst.1682zbMath1486.14037arXiv1806.00970OpenAlexW3209279142MaRDI QIDQ2053313

Arata Komyo

Publication date: 29 November 2021

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00970

zbMATH Keywords

isomonodromic deformationalgebraic functionGarnier system

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Homotopy theory and fundamental groups in algebraic geometry (14F35) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

Classification of algebraic solutions of irregular Garnier systems

Cites Work

• Representations of quasi-projective groups, flat connections and transversely projective foliations
• Algebraic isomonodromic deformations of logarithmic connections on the Riemann sphere and finite braid group orbits on character varieties
• Equations différentielles à points singuliers réguliers
• On the classification of rank-two representations of quasiprojective fundamental groups
• Un théorème de Zariski du type de Lefschetz
• A new two-parameter family of isomonodromic deformations over the five punctured sphere
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