Some Picard Theorems for Holomorphic Maps to Algebraic Varieties
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Publication:4056330
DOI10.2307/2373660zbMath0301.32022OpenAlexW2036661527MaRDI QIDQ4056330
Publication date: 1975
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2373660
Related Items (75)
Abschätzungen für die Anzahl der holomorphen Abbildungen zwischen algebraischen Räumen. (Estimates for the number of holomorphic mappings between algebraic varieties) ⋮ Research questions on meromorphic functions and complex differential equations ⋮ Equal sums of three powers ⋮ Number of solutions of the generalized Fermat equation in function theoretical rings ⋮ On Gundersen's solution to the Fermat-type functional equation of degree 6 ⋮ On Griffiths–Lang's conjecture and related topics ⋮ Topics on meromorphic mappings and defects ⋮ Defect relations for holomorphic maps between spaces of different dimensions ⋮ On complex analytic solutions of certain trinomial functional and partial differential equations ⋮ On entire solutions of a family of nonlinear partial differential equations of prime degree ⋮ On the hyperbolicity of the complements of curves in algebraic surfaces: The three-component case ⋮ Picard-Borel-Räume. (On Picard-Borel spaces) ⋮ Analytische Mengen, die von jedem nicht-konstanten Bild getroffen werden. (On analytic sets with non-empty intersection for every non constant maps) ⋮ Holomorphic curves with shift-invariant hyperplane preimages ⋮ Ergänzungen zu Picard-Borel-Räume. (Supplements to Picard-Borel spaces) ⋮ ON ALGEBRAIC HYPERBOLICITY OF LOG VARIETIES ⋮ Hyperbolic and Diophantine analysis ⋮ On the existence of solutions of a Fermat-type difference equation ⋮ Finiteness of some families of meromorphic maps ⋮ A generalization of the big Picard theorem ⋮ A Picard Theorem with an Application to Minimal Surfaces ⋮ Quotient Problem For Entire Functions with Moving Targets ⋮ Some remarks on a theorem of Green ⋮ Meromorphic solutions of Fermat type differential and difference equations of certain types ⋮ On certain Fermat Diophantine functional equations in \(\mathbb{C}^2\) ⋮ Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori ⋮ On automorphisms of complements of analytic subsets in \({\mathbb{C}}^ n\) ⋮ Degeneracy Theorems for Holomorphic Mappings Between Algebraic Varieties ⋮ A Tranversality Theorem for Holomorphic Mappings and Stability of Eisenman-Kobayashi Measures ⋮ An almost complexe Bloch's theorem ⋮ STRATIFIED TRANSVERSALITY OF HOLOMORPHIC MAPS ⋮ Hyperbolic surfaces in ${\mathbb P}^3(\mathbb C)$ ⋮ On generalized Fermat type functional equations ⋮ Meromorphic solutions of equations over non-Archimedean fields ⋮ ON MEROMORPHIC SOLUTIONS OF GENERALIZED FERMAT EQUATIONS ⋮ On meromorphic solutions of \(f^{2} + g^{2} = 1\) ⋮ Intrinsic distances, measures and geometric function theory ⋮ An almost complex version of a theorem by Green. ⋮ Waring's problem for linear polynomials and Laurent polynomials ⋮ Hyperbolic hypersurfaces in $\mathbb P^n$ of Fermat-Waring type ⋮ On the \(d\)th roots of exponential polynomials and related problems arising from the Green-Griffiths-Lang conjecture ⋮ Lemma on logarithmic derivatives and holomorphic curves in algebraic varieties ⋮ Picardindex und ganzalgebraische Punkte. (Picard index and integral points) ⋮ Integral points, divisibility between values of polynomials and entire curves on surfaces ⋮ The moduli space of hyperbolic compact complex spaces ⋮ Holomorphic curves in algebraic manifolds ⋮ Algebraic degeneracy theorem for holomorphic mappings into smooth projective algebraic varieties ⋮ Some cases of Vojta’s conjecture on integral points over function fields ⋮ On certain functional and partial differential equations. II ⋮ Value distribution theory and Diophantine approximation ⋮ Hyperbolic surfaces in \({\mathbb{P}}^ 3\) ⋮ Uniqueness theorems and uniqueness polynomials for holomorphic curves ⋮ Uniqueness theorems and uniqueness polynomials for holomorphic curves ⋮ Lee-Yang-Fisher zeros for the DHL and 2D rational dynamics. II: Global pluripotential interpretation ⋮ Linearly dependent powers of binary quadratic forms ⋮ Nonequidimensional value distribution theory and meromorphic connections ⋮ Bivariate polynomial injections and elliptic curves ⋮ Endlichkeits- und Picardsätze für quasiprojektive Räume. (Finiteness- and Picard theorems for quasi-projective spaces) ⋮ Moving Holomorphic Disks off Analytic Subsets ⋮ The second main theorem of holomorphic curves into projective spaces ⋮ A stochastic variational condition for the Maxwell connections ⋮ The Quotient Problem for Entire Functions ⋮ A hypersurface which determines linearly non-degenerate holomorphic mappings ⋮ On entire solutions of a Pythagorean functional equation and associated PDEs ⋮ Unique range sets for meromorphic functions on ⋮ Unnamed Item ⋮ Hyperbolic hypersurfaces in the complex projective spaces of low dimensions ⋮ The moduli space of hyperbolically imbedded manifolds ⋮ On meromorphic factoring and entire solutions of certain nonlinear partial differential equations ⋮ Hyperbolicity of the complement of arrangements of non complex lines ⋮ Anwendungen des Satzes von Picard ⋮ Isomorphisms between certain function fields over compact Riemann surfaces ⋮ Picard-Borel-Eigenschaft und Anwendungen. (Picard-Borel property and applications.) ⋮ An application of the lemma on the logarithmic derivative in several complex variables due to A. Vitter ⋮ Holomorphic mappings between spaces of different dimensions. II
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