Complex Plateau problem in non-Kähler manifolds

S. Ivashkovich

Displaying similar documents to “Complex Plateau problem in non-Kähler manifolds”

The Hartogs-type extension theorem for meromorphic mappings into $q$ -complete complex spaces

Sergei Ivashkovich, Alessandro Silva (1999)

Bollettino dell'Unione Matematica Italiana

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Si dimostra un risultato di prolungamento per applicazioni meromorfe a valori in uno spazio $q$ -completo che generalizza direttamente il risultato classico di Hartogs e migliora risultati di K. Stein.

On the local meromorphic extension of CR meromorphic mappings

Joël Merker, Egmont Porten (1998)

Annales Polonici Mathematici

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Let M be a generic CR submanifold in $ℂ^{m + n}$ , m = CR dim M ≥ 1, n = codim M ≥ 1, d = dim M = 2m + n. A CR meromorphic mapping (in the sense of Harvey-Lawson) is a triple $(f,_{f}, [Γ_{f}])$ , where: 1) $f :_{f} \to Y$ is a ¹-smooth mapping defined over a dense open subset $_{f}$ of M with values in a projective manifold Y; 2) the closure $Γ_{f}$ of its graph in $ℂ^{m + n} \times Y$ defines an oriented scarred ¹-smooth CR manifold of CR dimension m (i.e. CR outside a closed thin set) and 3) $d [Γ_{f}] = 0$ in the sense of currents. We prove that $(f,_{f}, [Γ_{f}])$ extends meromorphically...

Holomorphic extension from weakly pseudoconcave CR manifolds

Andrea Altomani, C. Denson Hill, Mauro Nacinovich, Egmont Porten (2010)

Rendiconti del Seminario Matematico della Università di Padova

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On the removable singularities for meromorphic mappings.

Evgeny M. Chirka (1996)

Publicacions Matemàtiques

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If E is a closed subset of locally finite Hausdorff (2n-2)-measure on an n-dimensional complex manifold Ω and all the points of E are nonremovable for a meromorphic mapping of Ω E into a compact Kähler manifold, then E is a pure (n-1)-dimensional complex analytic subset of Ω.

Elementary pseudoconcavity and fields of CR meromorphic functions

C. Denson-Hill, Mauro Nacinovich (2005)

Rendiconti del Seminario Matematico della Università di Padova

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Fields of CR meromorphic functions

C. Denson Hill, Mauro Nacinovich (2004)

Rendiconti del Seminario Matematico della Università di Padova

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A remark on runge approximation of meromorphic functions

Klaus Hulek (1979)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Meromorphic extension spaces

Le Mau Hai, Nguyen Van Khue (1992)

Annales de l'institut Fourier

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The aim of the present paper is to study meromorphic extension spaces. The obtained results allow us to get the invariance of meromorphic extendibility under finite proper surjective holomorphic maps.