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arxiv: 1702.02509 · v2 · pith:3PBIV5AYnew · submitted 2017-02-08 · 🧮 math.CV

One side continuity of meromorphic mappings between real analytic hypersurfaces

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keywords analyticrealgermshypersurfacehypersurfacesmappingsmeromorphicside
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We prove that a meromorphic mapping, which sends a peace of a real analytic strictly pseudoconvex hypersurface in $\cc^2$ to a compact subset of $\cc^N$ which doesn't contain germs of non-constant complex curves is continuous from the concave side of the hypersurface. This implies the analytic continuability along CR-paths of germs of holomorphic mappings from real analytic hypersurfaces with non-vanishing Levi form to the locally spherical ones in all dimensions.

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