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Extension of holomorphic maps between real hypersurfaces of different dimension

Rasul Shafikov; Kausha Verma — 2007

Annales de l’institut Fourier

In this paper we extend the results on analytic continuation of germs of holomorphic mappings from a real analytic hypersurface to a real algebraic hypersurface to the case when the target hypersurface is of higher dimension than the source. More precisely, we prove the following: Let $M$ be a connected smooth real analytic minimal hypersurface in $C^{n}$ , $M^{'}$ be a compact strictly pseudoconvex real algebraic hypersurface in $C^{N}$ , $1 < n \leq N$ . Suppose that $f$ is a germ of a holomorphic map at a point $p$ in $M$ and $f (M)$ is in...

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