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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Andrea Altomani, C. Denson Hill, Mauro Nacinovich, Egmont Porten (2010)
Rendiconti del Seminario Matematico della Università di Padova
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C. Denson Hill, Mauro Nacinovich (2004)
Rendiconti del Seminario Matematico della Università di Padova
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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.
C. Denson-Hill, Mauro Nacinovich (2005)
Rendiconti del Seminario Matematico della Università di Padova
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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 -completo che generalizza direttamente il risultato classico di Hartogs e migliora risultati di K. Stein.
S. Ivashkovich (1998)
Annales Polonici Mathematici
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We consider the complex Plateau problem for strongly pseudoconvex contours in non-Kähler manifolds. We give a necessary and sufficient condition for the existence of solution in the class of manifolds carrying pluriclosed metric forms and propose a conjecture for the general case.
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.