Holomorphic mappings between algebraic hypersurfaces in complex space
M. S. Baouendi, L. P. Rothschild (1994-1995)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “Big Picard theorems for holomorphic mappings into the complement of moving hypersurfaces in .”
Holomorphic mappings between algebraic hypersurfaces in complex space
CR mappings between real hypersurfaces in complex space
M. S. Baouendi, L. P. Rothschild (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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On the extension of holomorphic functions across a real hypersurface.
Jean-Marie Trépreau (1992)
Mathematische Zeitschrift
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On holomorphic extension of functions on singular real hypersurfaces in .
Neelon, Tejinder S. (2001)
International Journal of Mathematics and Mathematical Sciences
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The Łojasiewicz exponent of c-holomorphic mappings
Maciej P. Denkowski (2005)
Annales Polonici Mathematici
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The aim of this paper is to study the Łojasiewicz exponent of c-holomorphic mappings. After introducing an order of flatness for c-holomorphic mappings we give an estimate of the Łojasiewicz exponent in the case of isolated zero, which is a generalization of the one given by Płoski and earlier by Chądzyński for two variables.
Extending hypersurfaces and meromorphic functions.
Le Mau Hai, Tran Huu Nam (1996)
Portugaliae Mathematica
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Recent developments in the theory of separately holomorphic mappings
Viêt-Anh Nguyên (2009)
Colloquium Mathematicae
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We describe a part of the recent developments in the theory of separately holomorphic mappings between complex analytic spaces. Our description focuses on works using the technique of holomorphic discs.
Proper holomorphic self-mappings of the symmetrized bidisc
Armen Edigarian (2004)
Annales Polonici Mathematici
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We characterize proper holomorphic self-mappings 𝔾₂ → 𝔾₂ for the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂): |λ₁|,|λ₂| < 1} ⊂ ℂ².
CR mappings and their holomorphic extension
Mohamed S. Baouendi, Linda P. Rothschild (1987)
Journées équations aux dérivées partielles
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A note on the Nullstellensatz for c-holomorphic functions
Maciej P. Denkowski (2007)
Annales Polonici Mathematici
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We begin this article with a graph theorem and a kind of Nullstellensatz for weakly holomorphic functions. This yields a general Nullstellensatz for c-holomorphic functions on locally irreducible sets. In Section 2 some methods of Płoski-Tworzewski permit us to prove an effective Nullstellensatz for c-holomorphic functions in the case of a proper intersection with the degree of the intersection cycle as exponent. We also extend this result to the case of isolated improper intersection,...
The theorem of Forelli for holomorphic mappings into complex spaces
Pham Ngoc Mai, Do Duc Thai, Le Tai Thu (2004)
Annales Polonici Mathematici
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Generalizations of the theorem of Forelli to holomorphic mappings into complex spaces are given.
A uniqueness theorem of Cartan-Gutzmer type for holomorphic mappings in ℂⁿ
Piotr Liczberski, Jerzy Połubiński (2002)
Annales Polonici Mathematici
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We continue our previous work on a problem of Janiec connected with a uniqueness theorem, of Cartan-Gutzmer type, for holomorphic mappings in ℂⁿ. To solve this problem we apply properties of (j;k)-symmetrical functions.
Fixed points of holomorphic mappings for domains in Banach spaces.
Harris, Lawrence A. (2003)
Abstract and Applied Analysis
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Multiplicity and the Lojasiewicz exponent
Arkadiusz Płoski (1988)
Banach Center Publications
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A new division formula for complete intersections
Mikael Passare (1991)
Annales Polonici Mathematici
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We provide a new division formula for holomorphic mappings. It is given in terms of residue currents and has the advantage of being more explicit and simpler to prove than the previously known formulas.