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arXiv · 1903.04633

Holomorphic extension of meromorphic mappings along real analytic hypersurfaces

Ozcan Yazici
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Abstract

Let $M\subset \mathbb C^n$ be a real analytic hypersurface, $M'\subset \mathbb C^N$ $(N\geq n)$ be a strongly pseudoconvex real algebraic hypersurface of the special form and $F$ be a meromorphic mapping in a neighborhood of a point $p\in M$ which is holomorphic in one side of $M$. Assuming some additional conditions for the mapping $F$ on the hypersurface $M$, we proved that $F$ has a holomorphic extension to $p$. This result may be used to show the regularity of CR mappings between real hypersurfaces of different dimensions.

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Ozcan Yazici. 2019-03-11. Holomorphic extension of meromorphic mappings along real analytic hypersurfaces. https://doi.org/10.1007/s10231-019-00923-z

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