FORMAL BIHOLOMORPHIC MAPS OF REAL ANALYTIC HYPERSURFACES

@inproceedings{Mir2000FORMALBM,
  title={FORMAL BIHOLOMORPHIC MAPS OF REAL ANALYTIC HYPERSURFACES},
  author={Nordine Mir},
  year={2000}
}
Let f : (M, p) → (M ′, p′) be a formal biholomorphic mapping between two germs of real analytic hypersurfaces in C n, p′ = f(p). Assuming the source manifold to be minimal at p, we prove the convergence of the so-called reflection function associated to f . As a consequence, we derive the convergence of formal biholomorphisms between real analytic minimal holomorphically nondegenerate hypersurfaces. Related results on partial convergence of formal biholomorphisms are also obtained. 

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