Displaying similar documents to “Elementary pseudoconcavity and fields of CR meromorphic functions”

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 → 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 × 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...

Complex Plateau problem in non-Kähler manifolds

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.

Systems of meromorphic microdifferential equations

Orlando Neto (1996)

Banach Center Publications

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We introduce the notion of system of meromorphic microdifferential equations. We use it to prove a desingularization theorem for systems of microdifferential equations.

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.