Polynomial hulls and positive currents
type: Item
instance of: scholarly article
title: Polynomial hulls and positive currents
zbMATH Open document ID: 1065.32004
author: Tien-Cuong Dinh
author: Mark G. Lawrence
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2004-10-25T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73606
review text: The authors extend the Wermer's theorem to describe the polynomial hull of compact sets lying on the boundary of a smooth strictly convex domain of \(\mathbb C^n\). They also extend the result to polynomial \(p\)-hulls and apply it to get properties of pluriharmonic or p.s.h positive currents.
reviewed by: Weiping Yin
Mathematics Subject Classification ID: 32E20
zbMATH DE Number: 2109724
zbMATH Keywords: polynomial hulls
zbMATH Keywords: positive currents
zbMATH Keywords: pluriharmonic currents
MaRDI profile type: Publication
OpenAlex ID: W1977435773
cites work: Positive \(\partial\bar\partial\)-closed currents and non-Kähler geometry
cites work: Plurisubharmonic currents and their extension across analytic subsets
cites work: Lelong numbers of positive plurisubharmonic currents
cites work: Polynomial Approximation and Hulls in Sets in Finite Linear Measure in C n
cites work: The polynomial hull of a set of finite linear measure in \({\mathbb{C}}^ n\)
cites work: Holomorphic chains and the support hypothesis conjecture
cites work: Linking numbers and boundaries of varieties
cites work: A cut-off theorem for plurisubharmonic currents
cites work: The \(\overline\partial\)-equation on a positive current
cites work: Analyticity in Certain Banach Algebras
cites work: Polynomial hull of a compact set of finite length and holomorphic chains with rectifiable boundary
cites work: Orthogonal measures on the boundary of a Riemann surface and polynomial hull of compacts of finite length
cites work: Formules de Jensen en plusieurs variables et applications arithmétiques
cites work: Chaînes holomorphes de bord donné dans $\bbfC P^n$
cites work: Polynomial convexity, rational convexity, and currents
cites work: Q5565773
cites work: Oka's inequality for currents and applications
cites work: The length of a set in the sphere whose polynomial hull contains the origin
cites work: Foliations, the ergodic theorem and Brownian motion
cites work: Q4805125
cites work: On boundaries of complex analytic varieties. I
cites work: A characterization of holomorphic chains
cites work: Q5517147
cites work: The currents defined by analytic varieties
cites work: Polynomial Hulls of Rectifiable Curves
cites work: On the compactification of hyperconcave ends and the theorems of Siu-Yau and Nadel
cites work: CR-meromorphic extension and the nonembeddability of the Andreotti-Rossi CR structure in the projective space.
cites work: Complete characterization of holomorphic chains of codimension one
cites work: Quelques problèmes de prolongement de courants en analyse complexe
cites work: Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
cites work: Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$
cites work: Prolongement des courants, positifs, fermes de masse finie
cites work: Uniform approximation on smooth curves
cites work: Sur les ensembles pseudoconcaves généraux
cites work: The hull of a curve in \(\mathbb C^n\)
cites work: Weakly Differentiable Functions
DOI: 10.5802/AFST.1051
description: scientific article; zbMATH DE number 2109724