Classification of algebraic solutions of irregular Garnier systems (Q5107807)

scientific article; zbMATH DE number 7194388

Language	Label	Description	Also known as
English	Classification of algebraic solutions of irregular Garnier systems	scientific article; zbMATH DE number 7194388

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instance of

scholarly article

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title

Classification of algebraic solutions of irregular Garnier systems (English)

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Compositio Mathematica

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publication date

28 April 2020

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full work available at URL

https://arxiv.org/abs/1808.09190

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zbMATH Keywords

isomonodromic deformations

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Hurwitz spaces

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MaRDI profile type

MaRDI publication profile

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cites work

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Transformations $RS_4^2(3)$ of the ranks $\leq 4$ and algebraic solutions of the sixth Painlevé equation

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Simply-laced isomonodromy systems

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On the generalized Riemann--Hilbert problem with irregular singularities

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Finite orbits of the pure braid group on the monodromy of the 2-variable Garnier system

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Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation

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An example of a modular foliation deducted from an algebraic solution of Painlevé VI equation

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Algebraic isomonodromic deformations of logarithmic connections on the Riemann sphere and finite braid group orbits on character varieties

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ALGEBRAIC ISOMONODROMIC DEFORMATIONS AND THE MAPPING CLASS GROUP

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Finite Braid group orbits in $\mathbf{Aff}\boldsymbol{(\mathbb{C})}$-character varieties of the punctured sphere

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Construction and classification of certain algebraic solutions of Garnier systems

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Classification of algebraic solutions of irregular Garnier systems

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Algebraic and geometric isomonodromic deformations.

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Q4860065

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Monodromy of certain Painlevé-VI transcendents and reflection groups

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Canonical structure and symmetries of the Schlesinger equations

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

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Universal isomonodromic deformations of meromorphic rank 2 connections on curves

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Twistor spaces, Einstein metrics and isomonodromic deformations

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Moduli space of irregular singular parabolic connections of generic ramified type on a smooth projective curve

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The degeneration of the two dimensional Garnier system and the polynomial Hamiltonian structure

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

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Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions

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Identifiers

zbMATH Open document ID

1445.34126

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DOI

10.1112/S0010437X20007083

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5107807