Systems of meromorphic microdifferential equations

Orlando Neto

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The aim of this paper is to give a characterization of regular K-contact A-manifolds.

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Annales de l’institut Fourier

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We characterize intrinsically two classes of manifolds that can be properly embedded into spaces of the form $ℙ^{N} ∖ ℙ^{N - q}$ . The first theorem is a compactification theorem for pseudoconcave manifolds that can be realized as $\bar{X} ∖ (\bar{X} \cap ℙ^{N - q})$ where $\bar{X} \subset ℙ^{N}$ is a projective variety. The second theorem is an embedding theorem for holomorphically convex manifolds into $ℙ^{1} \times ℂ^{N}$ .

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Teresa Fernandes (1996)

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Elementary pseudoconcavity and fields of CR meromorphic functions

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S. Janeczko (2000)

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Let (P,ω) be a symplectic manifold. We find an integrability condition for an implicit differential system D' which is formed by a Lagrangian submanifold in the canonical symplectic tangent bundle (TP,ὡ).

Weil's formulae and multiplicity

Maria Frontczak, Andrzej Miodek (1991)

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The integral representation for the multiplicity of an isolated zero of a holomorphic mapping $f : (ℂ^{n}, 0) \to (ℂ^{n}, 0)$ by means of Weil’s formulae is obtained.

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Cornelia Vizman (2011)

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Differential forms on the Fréchet manifold $ℱ (S, M)$ of smooth functions on a compact $k$ -dimensional manifold $S$ can be obtained in a natural way from pairs of differential forms on $M$ and $S$ by the hat pairing. Special cases are the transgression map $Ω^{p} (M) \to Ω^{p - k} (ℱ (S, M))$ (hat pairing with a constant function) and the bar map $Ω^{p} (M) \to Ω^{p} (ℱ (S, M))$ (hat pairing with a volume form). We develop a hat calculus similar to the tilda calculus for non-linear Grassmannians [6].