Polynomial hulls of real manifolds in C2.

Boris Gourlay

Publicacions Matemàtiques (1993)

  • Volume: 37, Issue: 1, page 225-238
  • ISSN: 0214-1493

Abstract

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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 ∩ B'(0,1) contains a neighbourhood of 0.3. A contable union of totally real planes (Pj) such that B'(0,1) ∩ (∪j∈N Pj) is polynomially convex.

How to cite

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Gourlay, Boris. "Enveloppes polynomiales de variétés réelles dans C2.." Publicacions Matemàtiques 37.1 (1993): 225-238. <http://eudml.org/doc/41513>.

@article{Gourlay1993,
author = {Gourlay, Boris},
journal = {Publicacions Matemàtiques},
keywords = {Variedades complejas; Polinomios; Convexidad; polynomials hull; totally real surfaces; real manifolds},
language = {fre},
number = {1},
pages = {225-238},
title = {Enveloppes polynomiales de variétés réelles dans C2.},
url = {http://eudml.org/doc/41513},
volume = {37},
year = {1993},
}

TY - JOUR
AU - Gourlay, Boris
TI - Enveloppes polynomiales de variétés réelles dans C2.
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 1
SP - 225
EP - 238
LA - fre
KW - Variedades complejas; Polinomios; Convexidad; polynomials hull; totally real surfaces; real manifolds
UR - http://eudml.org/doc/41513
ER -

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