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 to a compact subset of 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.
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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