Regularity of Cr Mappings between Algebraic

Let M and M ′ be real analytic hypersurfaces in C and C ′ respectively and H : M → M ′ a sufficiently smooth CR mapping. Under what conditions does H extend holomorphically to a neighborhood of M in C? In this paper we prove that if M and M ′ are algebraic hypersurfaces in C , i.e. both defined by the vanishing of real polynomials, then any sufficiently… CONTINUE READING