Results 31 to 40 of about 434 (77)
Levi-flat filling of real two-spheres in symplectic manifolds (I)
, 2010 Let (M,J,w) be a manifold with an almost complex structure J tamed by a symplectic form w. We suppose that M has complex dimension two, is Levi convex and has bounded geometry.
Gaussier, Hervé, Sukhov, Alexandre
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Characteristic foliations on maximally real submanifolds of C^n and envelopes of holomorphy
, 2003 Let S be an arbitrary real surface, with or without boundary, contained in a hypersurface M of the complex euclidean space \C^2, with S and M of class C^{2, a}, where 0 < a < 1.
Merker, Joël, Porten, Egmont
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Local and Global Envelopes of Holomorphy of Domains in C 2 [PDF]
Transactions of the American Mathematical Society, 1985 A criterion is given for a smoothly bounded domain D ⊂ C 2 D \subset {{\mathbf {C}}^2} to be locally extendible to a neighborhood of a point z 0 ∈
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A new cross theorem for separately holomorphic functions
, 2009 We prove a new cross theorem for separately holomorphic ...
Jarnicki, Marek, Pflug, Peter
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Reflection principle and envelopes of holomorphy
, 2000 The reflection function of a smooth CR diffeomorphism between two minimal real analytic hypersurfaces is everywhere real analytic.
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Holomorphic functions of slow growth on nested covering spaces of compact manifolds
, 1999 Let Y be an infinite covering space of a projective manifold M in P^N of dimension n geq 2. Let C be the intersection with M of at most n-1 generic hypersurfaces of degree d in P^N. The preimage X of C in Y is a connected submanifold.
Larusson, Finnur
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An envelope of holomorphy for certain normal complex spaces
Mathematische Annalen, 1986 The three most general categories in which the existence of an envelope of holomorphy is guaranteed are the category of unbranched Riemann domains over \({\mathbb{C}}^ n\), the category of branched Riemann domains over \({\mathbb{C}}^ n\), and the category of holomorphically convex complex spaces. - Branched Riemann domains over \({\mathbb{C}}^ n\) are
Hayes, Sandra, Pourcin, Geneviève
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On the local meromorphic extension of CR meromorphic mappings
, 1998 Let $M$ be a generic CR submanifold in $\C^{m+n}$, $m= CRdim M \geq 1$,$n=codim M \geq 1$, $d=dim M = 2m+n$. A CR meromorphic mapping (in the sense of Harvey-Lawson) is a triple $(f,{\cal D}_f, [\Gamma_f])$, where: 1. $f: {\cal D}_f \to Y$ is a ${\cal C}^
Merker, J., Porten, Egmont
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On Serre duality and envelopes of holomorphy [PDF]
Transactions of the American Mathematical Society, 1967 openaire +1 more source
Riemann domains and envelopes of holomorphy
Duke Mathematical Journal, 1983 Fornæss, John-Erik, Zame, William R.
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