Resumen de Enveloppes polynomiales de variétés réelles dans $\Bbb C^2$

Boris Gourlay

• We present here three examples concerning polynomial hulls of some manifolds in C2.

  1. Some real surfaces with equation w = P (z,z') + G(z) where P is a homogeneous polynomial of degree n and G(z) = o(|z|n) at 0 which are locally polynomially convex at 0.

  2. Some real surfaces MF with equation w = zn+kz'n + F(z,z') such that the hull of Mf n B'(0,1) contains a neighbourhood of 0.

  3. A contable union of totally real planes (Pj) such that B'(0,1) n (ÈjÎN Pj) is polynomially convex.