Holomorphic mapping of annuli in and the associated extremal function
Eric Bedford, Dan Burns (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Eric Bedford, Dan Burns (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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D. E. Barrett, John Erik Fornaess (1988)
Publicacions Matemàtiques
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We study the regularity of the induced foliation of a Levi-flat hypersurface in C, showing that the foliation is as many times continuously differentiable as the hypersurface itself. The key step in the proof given here is the construction of a certain family of approximate plurisubharmonic defining functions for the hypersurface in question.
Marco Brunella, Paulo Sad (1995)
Bulletin de la Société Mathématique de France
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Raffaella Mascolo (2006)
Rendiconti del Seminario Matematico della Università di Padova
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F. Berteloot, A. Sukhov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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O. Calvo-Andrade (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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It is a known fact that the space of codimension one holomorphic foliations with singularities with a given ‘normal bundle’ has a natural structure of an algebraic variety. The aim of this paper is to consider the problem of the description of its irreducible components. To do this, we are interested in the problem of the existence of an integral factor of a twisted integrable differential 1–form defined on a projective manifold. We are going to do a geometrical analysis of the codimension...