Extension of holomorphic maps between real hypersurfaces of different dimension
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realholomorphichypersurfacealgebraicalonganalyticcompactdifferent
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It is proved that the germ of a holomorphic map from a real analytic hypersurface M in C^n into a strictly pseudoconvex compact real algebraic hypersurface M' in C^N, 1 < n < N extends holomorphically along any path on M.
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