Equivalence of three-dimensional Cauchy-Riemann manifolds and multisummability theory

DOI10.1016/j.aim.2021.108117zbMath1495.32048OpenAlexW3216224067WikidataQ114211579 ScholiaQ114211579MaRDI QIDQ2074801

Bernhard Lamel, Laurent Stolovitch, I. G. Kossovskii

Publication date: 11 February 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2021.108117

zbMATH Keywords

holomorphic mapsanalytic continuationCR manifolds

Mathematics Subject Classification ID

Extension of functions and other analytic objects from CR manifolds (32V25) Boundary regularity of mappings in several complex variables (32H40)

Related Items (4)

The equivalence theory for infinite type hypersurfaces in ℂ² ⋮ Formal versus analytic CR mappings ⋮ Transcendental holomorphic maps between real algebraic manifolds in a complex space ⋮ Two decades of finite jet determination of CR mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Divergent CR-equivalences and meromorphic differential equations
• Multisummability and Stokes multipliers of linear meromorphic differential equations
• On the pseudo-conformal geometry of hypersurface of the space of \(n\) complex variables
• Multisummable functions
• Multisummability of formal power series solutions of nonlinear meromorphic differential equations
• Real hypersurfaces in complex manifolds
• On the mapping problem for algebraic real hypersurfaces
• Basic theory of ordinary differential equations
• A new proof of summability of formal solutions of nonlinear meromorphic differential equations
• Regularity of continuous CR maps in arbitrary dimension.
• Summability of divergent series
• A reflection principle in complex space for a class of hypersurfaces and mappings
• Regularity of CR mappings between algebraic hypersurfaces
• On maps between nonminimal hypersurfaces
• Formal power series and linear systems of meromorphic ordinary differential equations
• Finite jet determination of local CR automorphisms through resolution of degeneracies
• On the solutions of analytic equations
• New extension phenomena for solutions of tangential Cauchy–Riemann equations
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Degenerate real hypersurfaces in ℂ² with few automorphisms
• Convergence and finite determination of formal CR mappings
• Artin Approximation
• On transformations of analytic CR-structures
• Multisummability and ordinary meromorphic differential equations
• On the analyticity of CR-diffeomorphisms
• ASYMPTOTIC APPROXIMATIONS AND A BOREL-TYPE RESULT FOR CR FUNCTIONS
• Symmetries and differential equations
• Segre varieties and Lie symmetries
• Analytic differential equations and spherical real hypersurfaces

This page was built for publication: Equivalence of three-dimensional Cauchy-Riemann manifolds and multisummability theory