Holomorphic continuation of smooth functions over Levi-flat hypersurfaces

Author:

Bedford Eric

Abstract

Here we consider the singularities of a Levi-flat real hypersurface S in C that lie in an analytic variety of codimension 2. It is shown that, from the geometric point of view, there are two kinds of singularities, and the type of singularity determines whether S bounds a domain of holomorphy of type A {A^\infty } .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

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3. Global regularity for ∂̄ on weakly pseudo-convex manifolds;Kohn, J. J.;Trans. Amer. Math. Soc.,1973

4. S\'{e}minaire de Math\'{e}matiques Sup\'{e}rieures, No. 13 (\'{E}t\'{e};Lelong, Pierre,1968

5. A note on topological degree theory for holomorphic maps;Rabinowitz, Paul H.;Israel J. Math.,1973

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