Add to ORKGInternational audienceThe purpose of this paper is to study holomorphic approximation and approximation of $\overline\partial$-closed forms in complex manifolds of complex dimension $n\geq 1$. We consider extensions of the classical Runge theorem and the Mergelyan property to domains in complex manifolds for the smooth and the $L^2$ topology. We characterize the Runge or Mergelyan property in terms of certain Dolbeault cohomology groups and some geometric sufficient conditions are given
Characteristic class relations in Dolbeault cohomology follow from the existence of a holomorphic ge...
Let $X$ be a complex space of pure dimension. We introduce fine sheaves $\A^X_q$ of $(0,q)$-currents...
Let $f:\mathcal{X}\to S$ be a proper holomorphic submersion of complex manifolds and $G$ a complex r...
International audienceThe purpose of this paper is to study holomorphic approximation and approximat...
International audienceIn this paper we study holomorphic approximation using boundary value prob...
The Runge approximation theorem for holomorphic maps is a fundamental result in complex analysis, an...
This paper extends Dolbeault cohomology and its surrounding theory to arbitrary almost complex manif...
We investigate the question whether a Mergelyan Theorem holds for mappings to ℂn ∖ A. The main resul...
We construct a simply-connected compact complex non-Kähler manifold satisfying the ∂ ̅∂ -Lemma, and ...
AbstractA number of Runge approximation theorems are proved for complex Clifford algebra valued holo...
AbstractThe ∂-operator on an almost complex abstract Wiener space (B, H, μ, J) is defined by making ...
Let X be a compact complex manifold with boundary and let L-k be a high power of a hermitian holomor...
We study two natural notions of holomorphic forms on a reduced pure $n$-dimensional complex space $X...
We present a geometric proof of the theorem saying that holomorphic maps from Runge domains to affin...
This monograph presents the current status of a rapidly developing part of several complex variables...
Characteristic class relations in Dolbeault cohomology follow from the existence of a holomorphic ge...
Let $X$ be a complex space of pure dimension. We introduce fine sheaves $\A^X_q$ of $(0,q)$-currents...
Let $f:\mathcal{X}\to S$ be a proper holomorphic submersion of complex manifolds and $G$ a complex r...
International audienceThe purpose of this paper is to study holomorphic approximation and approximat...
International audienceIn this paper we study holomorphic approximation using boundary value prob...
The Runge approximation theorem for holomorphic maps is a fundamental result in complex analysis, an...
This paper extends Dolbeault cohomology and its surrounding theory to arbitrary almost complex manif...
We investigate the question whether a Mergelyan Theorem holds for mappings to ℂn ∖ A. The main resul...
We construct a simply-connected compact complex non-Kähler manifold satisfying the ∂ ̅∂ -Lemma, and ...
AbstractA number of Runge approximation theorems are proved for complex Clifford algebra valued holo...
AbstractThe ∂-operator on an almost complex abstract Wiener space (B, H, μ, J) is defined by making ...
Let X be a compact complex manifold with boundary and let L-k be a high power of a hermitian holomor...
We study two natural notions of holomorphic forms on a reduced pure $n$-dimensional complex space $X...
We present a geometric proof of the theorem saying that holomorphic maps from Runge domains to affin...
This monograph presents the current status of a rapidly developing part of several complex variables...
Characteristic class relations in Dolbeault cohomology follow from the existence of a holomorphic ge...
Let $X$ be a complex space of pure dimension. We introduce fine sheaves $\A^X_q$ of $(0,q)$-currents...
Let $f:\mathcal{X}\to S$ be a proper holomorphic submersion of complex manifolds and $G$ a complex r...