The lemma of the logarithmic derivative in several complex variables
From MaRDI portal
Publication:1239410
DOI10.1215/S0012-7094-77-04404-0zbMath0361.32003WikidataQ124814748 ScholiaQ124814748MaRDI QIDQ1239410
Publication date: 1977
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Holomorphic mappings and correspondences (32H99) Meromorphic functions of several complex variables (32A20)
Related Items (59)
Non-integrated defect relation for meromorphic maps of complete Kähler manifolds into $\mathbb{P}^{n}(\mathbb{C})$ intersecting hypersurfaces ⋮ Uniqueness problem of meromorphic mappings in several complex variables for moving targets ⋮ Transcendental entire solutions for several quadratic binomial and trinomial PDEs with constant coefficients ⋮ The logarithmic derivative for minimal surfaces in \(\mathbb R^3\). ⋮ Topics on meromorphic mappings and defects ⋮ Transcendental entire solutions of several Fermat type PDEs and PDDEs with two complex variables ⋮ On generalized Fermat Diophantine functional and partial differential equations in \(\mathbf{C}^2\) ⋮ Higher dimensional tautological inequalities and applications ⋮ The Second Main Theorem for algebroid functions of several complex variables ⋮ On meromorphic solutions of functional-differential equations ⋮ ON ENTIRE SOLUTIONS OF FERMAT TYPE PARTIAL DIFFERENTIAL EQUATIONS ⋮ A sharp form of Nevanlinna's Second Main Theorem of several complex variables ⋮ On Nevanlinna's second main theorem in projective space ⋮ On entire solutions of certain partial differential equations ⋮ Value distribution of \(q\)-differences of meromorphic functions in several complex variables ⋮ Michael’s problem and the Poincaré-Fatou-Bieberbach phenomenon ⋮ A generalization of Stoll's theorem for moving targets ⋮ Another proof of Stoll's theorem for moving targets ⋮ Unnamed Item ⋮ Value distribution for holomorphic maps in \(\mathbb{C}^n\) ⋮ The study of solutions for several systems of PDDEs with two complex variables ⋮ Some results regarding partial differential polynomials and the uniqueness of meromorphic functions in several variables ⋮ A Hypersurface Defect Relation for a Class of Meromorphic Maps ⋮ A difference Picard theorem for meromorphic functions of several variables ⋮ The defect relations for the derived curves of a holomorphic curve in \(P^ n(\)C) ⋮ The \(q\)-difference theorems for meromorphic functions of several variables ⋮ Approximation divisors of a holomorphic mapping and the deficiencies of meromorphic functions of several variables ⋮ Meromorphic solutions of generalized inviscid Burgers' equations and related PDEs ⋮ Entire Solutions of ⋮ The lemma of the logarithmic derivative for subharmonic functions ⋮ \(m\) components-admissible solutions of systems of higher-order partial differential equations on \(\mathbb C^n\) ⋮ Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem ⋮ Estimations du type nevanlinna pour les applications holomorphes de ∁n dans ∁n ⋮ On Picard's theorem ⋮ ON MEROMORPHIC SOLUTIONS OF GENERALIZED FERMAT EQUATIONS ⋮ On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\) ⋮ Unnamed Item ⋮ Entire solutions of certain partial differential equations in \(\mathbb{C}^n\) ⋮ New defect relations for meromorphic functions on 𝐂ⁿ ⋮ Entire solutions of certain partial differential equations and factorization of partial derivatives ⋮ Lemma on logarithmic derivatives and holomorphic curves in algebraic varieties ⋮ Holomorphic curves in algebraic manifolds ⋮ Algebraic degeneracy theorem for holomorphic mappings into smooth projective algebraic varieties ⋮ Holomorphic curves with maximal deficiency sum ⋮ On certain functional and partial differential equations. II ⋮ Estimates on partial derivatives and logarithmic partial derivatives of holomorphic functions on polydiscs and beyond ⋮ Entire solutions of a variation of the eikonal equation and related PDEs ⋮ Nonequidimensional value distribution theory and meromorphic connections ⋮ Ax-Schanuel type theorems on functional transcendence via Nevanlinna theory ⋮ A logarithmic derivative lemma in several complex variables and its applications ⋮ Meromorphic solutions of Fermat type partial differential equations ⋮ Further results on factorization of meromorphic solutions of partial differential equations ⋮ The uniqueness problem and meromorphic solutions of partial differential equations ⋮ On entire solutions of a Pythagorean functional equation and associated PDEs ⋮ Unique range sets for meromorphic functions on ⋮ Entire and meromorphic solutions for systems of the differential difference equations ⋮ A unicity theorem for meromorphic maps of a complete Kähler manifold into ℙⁿ(ℂ) sharing hypersurfaces ⋮ Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better ⋮ An application of the lemma on the logarithmic derivative in several complex variables due to A. Vitter
This page was built for publication: The lemma of the logarithmic derivative in several complex variables