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Extension of holomorphic maps between real hypersurfaces of different dimension

Rasul ShafikovKausha 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 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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