Results 1 to 10 of about 434 (77)
A note on envelopes of holomorphy [PDF]
The Journal of Geometric Analysis, 2013 Let $p:X\longrightarrow M$ be a Riemann domain over a connected $n$-dimensional complex submanifold $M$ of $\mathbb C^N$ and let $\mathcal F\subset\mathcal O(X)$ be such that $p\in\mathcal F^N$.
Jarnicki, Marek, Pflug, Peter
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Envelopes of holomorphy and holomorphic discs [PDF]
Inventiones mathematicae, 2008 The envelope of holomorphy of an arbitrary domain in a two-dimensional Stein manifold is identified with a connected component of the set of equivalence classes of analytic discs immersed into the Stein manifold with boundary in the domain. This implies,
Joricke, Burglind
core +6 more sources
Envelopes of holomorphy of Hartogs and circular domains [PDF]
Pacific Journal of Mathematics, 1991 The classical problem of the univalence and description of the envelope of holomorphy of a domain in \({\mathbb{C}}^ n\) is investigated: the classes of Hartogs and circular domains are taken into consideration. In the Hartogs case preceding results are improved and completed.
CASADIO TARABUSI, Enrico, TRAPANI S.
exaly +8 more sources
Envelope of holomorphy for boundary cross sets [PDF]
Archiv der Mathematik, 2006 Let $D\subset \C^n,$ $G\subset \C^m$ be open sets, let $A$ (resp. $B$) be a subset of the boundary $\partial D$ (resp. $\partial G$) and let $W$ be the 2-fold boundary cross $((D\cup A)\times B)\cup (A\times(B\cup G)).$ An open subset $X\subset\C ...
Nguyen, Viet-Anh, Pflug, Peter
core +4 more sources
Topological criteria for schlichtness [PDF]
, 2010 We give two sufficient criteria for schlichtness of envelopes of holomorphy in terms of topology. These are weakened converses of results of Kerner and Royden. Our first criterion generalizes a result of Hammond in dimension 2.
Hatcher, Munkres, Zach Teitler
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Complex retractions and envelopes of holomorphy [PDF]
Proceedings of the American Mathematical Society, 1988 In this paper we show that if a domain Ω \Omega of a Stein manifold X X is a "holomorphic deformation retract" of a domain of holomorphy D ⊆ X D \subseteq X , then Ω \Omega has a univalent envelope of holomorphy Ω
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Extension Phenomena for Holomorphic Geometric Structures [PDF]
, 2009 The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of complex codimension 2 or more.Comment: published ...
McKay, Benjamin
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Envelopes of holomorphy and holomorphic convexity [PDF]
Transactions of the American Mathematical Society, 1973 This paper is primarily a study of generalized notions of envelope of holomorphy and holomorphic convexity for special (algebraically restricted) subsets of C n {{\mathbf {C}}^n} and in part for arbitrary subsets of
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Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014 Weak‐star closures of Gleason parts in the spectrum of a function algebra are studied. These closures relate to the bidual algebra and turn out both closed and open subsets of a compact hyperstonean space. Moreover, weak‐star closures of the corresponding bands of measures are reducing.
Marek Kosiek +2 more
wiley +1 more source
Schlicht Envelopes of Holomorphy and Foliations by Lines [PDF]
Journal of Geometric Analysis, 2009 Version 2: Terminology revised and title changed in view of information about the origins of what we now call "the schlichtness lemma" that we didn't have when we finished version 1. Version 3: A few minor changes.
Larusson, F., Shafikov, R.
openaire +4 more sources