A new two-parameter family of isomonodromic deformations over the five punctured sphere

DOI10.24033/bsmf.2716zbMath1344.14011arXiv1507.02863OpenAlexW820441144MaRDI QIDQ5739433

Arnaud Girand

Publication date: 15 July 2016

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02863

zbMATH Keywords

Lotka-Volterra systemsisomonodromic deformationsGarnier systemsRiccati formsdihedral monodromy groupslogarithmic flat connectionstransversally projective foliations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Continuation of analytic objects in several complex variables (32D15) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Ramification problems in algebraic geometry (14E22) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Fiber bundles in algebraic topology (55R10) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Projective analytic geometry (51N15) Dynamical aspects of holomorphic foliations and vector fields (37F75) Deformations of fiber bundles (32G08) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items

Classification of algebraic solutions of irregular Garnier systems, Algebraic isomonodromic deformations of logarithmic connections on the Riemann sphere and finite braid group orbits on character varieties, A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions, Triangular Schlesinger systems and superelliptic curves, Finite orbits of monodromies of rank two Fuchsian systems

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