Polynomial hulls of real manifolds in \(\mathbb C^ 2\)
type: Item
instance of: scholarly article
title: Polynomial hulls of real manifolds in \(\mathbb C^ 2\)
zbMATH Open document ID: 0801.32004
DOI: 10.5565/PUBLMAT_37193_15
author: Boris Gourlay
published in: Publicacions Matemàtiques
publication date: 1994-12-01T00:00:00Z
full work available at URL: https://eudml.org/doc/41513
review text: Three examples concerning polynomial hulls of some manifolds in \(Bbb C^ 2\) are presented: 1. Some real surfaces with equation \(w= P(z,\bar z)+ G(z)\), 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 \(M_ F\) with equation \(w= z^{n+k}\bar z^ n+ F(z,\bar z)\) such that the hull of \(M_ F\cap \overline B(0,1)\) contains a neighborhood of \(0\). 3. A countable union of totally real planes \((P_ j)\) such that \(\overline B(0,1)\cap(\bigcup_{j\in N}P_ j)\) is polynomially convex. [Remarks: The review above is almost literary the abstract].
reviewed by: Alexander Russakovskij
Mathematics Subject Classification ID: 32E20
Mathematics Subject Classification ID: 32C05
zbMATH DE Number: 575463
zbMATH Keywords: polynomials hull
zbMATH Keywords: totally real surfaces
zbMATH Keywords: real manifolds
MaRDI profile type: Publication
OpenAlex ID: W1786898105
description: scientific article; zbMATH DE number 575463