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

• Autores: Boris Gourlay
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 37, Nº 1, 1993, págs. 225-238
• Idioma: francés
• DOI: 10.5565/publmat_37193_15
• Títulos paralelos:
  • Envolventes polinomiales de variedades reales en C2
  • Polynomial hulls of real manifolds in C2
• Enlaces
  • Texto completo
• Resumen

  • 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.