Representations of quasi-projective groups, flat connections and transversely projective foliations

DOI10.5802/jep.34zbMath1353.37098arXiv1402.1382OpenAlexW2963368712MaRDI QIDQ502558

Jorge Vitório Pereira, Frank Loray, Frédéric Touzet

Publication date: 5 January 2017

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1382

zbMATH Keywords

foliationbirational geometryStokes matricesflat connectionsirregular singular pointstransverse structure

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Dynamical aspects of holomorphic foliations and vector fields (37F75) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (11)

On the formal principle for curves on projective surfaces ⋮ Transversely holomorphic branched Cartan geometry ⋮ Rational endomorphisms of codimension one holomorphic foliations ⋮ Naturality properties and comparison results for topological and infinitesimal embedded jump loci ⋮ 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 ⋮ RANK TWO TOPOLOGICAL AND INFINITESIMAL EMBEDDED JUMP LOCI OF QUASI-PROJECTIVE MANIFOLDS ⋮ Projective Transverse Structures for Some Foliations ⋮ Rational Morita equivalence for holomorphic Poisson modules ⋮ Deformation of rational curves along foliations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An example of a modular foliation deducted from an algebraic solution of Painlevé VI equation
• Construction of singular holomorphic vector fields and foliations in dimension two
• On nonlinear differential Galois theory
• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Good formal structures for flat meromorphic connections. I: Surfaces
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Foliations: geometric studies
• About transversely projective holomorphic foliations.
• Singular foliations with trivial canonical class
• Meromorphic connections. II: The canonic grid
• Characteristic varieties of quasi-projective manifolds and orbifolds
• Transversely affine foliations on projective manifolds
• Singular codimension one foliations, Galois groupoid and first integrals
• Structure of formal meromorphic connections in several variables and semicontinuity of the irregularity
• Hilbert modular foliations on the projective plane
• Equations différentielles à points singuliers réguliers
• Holomorphic foliations with Liouvillian first integrals
• Some examples for the Poincaré and Painlevé problems
• Fibrations, divisors and transcendental leaves
• Ueda theory: theorems and problems
• On the classification of rank-two representations of quasiprojective fundamental groups
• Good formal structure for meromorphic flat connections on smooth projective surfaces
• Moving codimension-one subvarieties over finite fields
• Liouvillian integration and Bernoulli foliations
• Transversely affine and transversely projective holomorphic foliations
• Minimal models of foliated algebraic surfaces
• [https://portal.mardi4nfdi.de/wiki/Publication:4950750 Sur l'int�gration des �quations diff�rentielles holomorphes r�duites en dimension deux]
• TRANSVERSELY PROJECTIVE FOLIATIONS ON SURFACES: EXISTENCE OF MINIMAL FORM AND PRESCRIPTION OF MONODROMY
• The topology of smooth divisors and the arithmetic of abelian varieties.

This page was built for publication: Representations of quasi-projective groups, flat connections and transversely projective foliations