Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces.

Merker, Joël

Displaying similar documents to “Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces.”

On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle

Joël Merker (2002)

Annales de l’institut Fourier

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In the present paper, we associate the techniques of the Lewy-Pinchuk reflection principle with the Behnke-Sommer continuity principle. Extending a so-called to a parameterized congruence of Segre varieties, we are led to studying the envelope of holomorphy of a certain domain covered by a smooth Levi-flat “hat”. In our main theorem, we show that every $𝒞^{\infty}$ -smooth CR diffeomorphism $h : M \to M^{'}$ between two globally minimal real analytic hypersurfaces in $ℂ^{n}$ ( $n \geq 2$ ) is real analytic at every point of $M$ ...

CR mappings between real hypersurfaces in complex space

M. S. Baouendi, L. P. Rothschild (1987-1988)

Séminaire Équations aux dérivées partielles (Polytechnique)

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On holomorphic extension of functions on singular real hypersurfaces in $ℂ^{n}$ .

Neelon, Tejinder S. (2001)

International Journal of Mathematics and Mathematical Sciences

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Holomorphic mappings between algebraic hypersurfaces in complex space

M. S. Baouendi, L. P. Rothschild (1994-1995)

Séminaire Équations aux dérivées partielles (Polytechnique)

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CR mappings and their holomorphic extension

Mohamed S. Baouendi, Linda P. Rothschild (1987)

Journées équations aux dérivées partielles

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Big Picard theorems for holomorphic mappings into the complement of $2 n + 1$ moving hypersurfaces in $ℂ P^{n}$ .

Nguyen Thi Thu Hang, Tran Van Tan (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Unique determination of local $C R$ -maps by their jets: a survey

Dmitri Zaitsev (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We survey results on unique determination of local $C R$ -automorphisms of smooth $C R$ -manifolds and of local biholomorphisms of real-analytic $C R$ -submanifolds of complex spaces by their jets of finite order at a given point. Examples generalizing [28] are given showing that the required jet order may be arbitrarily high.

On Levi-flat hypersurfaces tangent to holomorphic webs

Arturo Fernández-Pérez (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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We investigate real analytic Levi-flat hypersurfaces tangent to holomorphic webs. We introduce the notion of first integrals for local webs. In particular, we prove that a $k$ -web with finitely many invariant subvarieties through the origin tangent to a Levi-flat hypersurface has a holomorphic first integral.