English

One side continuity of meromorphic mappings between real analytic hypersurfaces

Complex Variables 2018-05-08 v2

Abstract

We prove that a meromorphic mapping, which sends a peace of a real analytic strictly pseudoconvex hypersurface in \cc2\cc^2 to a compact subset of \ccN\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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Cite

@article{arxiv.1702.02509,
  title  = {One side continuity of meromorphic mappings between real analytic hypersurfaces},
  author = {S. Ivashkovich},
  journal= {arXiv preprint arXiv:1702.02509},
  year   = {2018}
}

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R2 v1 2026-06-22T18:12:57.722Z