Polynomial convexity and Rossi's local maximum principle
type: Item
instance of: scholarly article
title: Polynomial convexity and Rossi's local maximum principle
zbMATH Open document ID: 1118.32012
published in: Michigan Mathematical Journal
publication date: 2007-04-05T00:00:00Z
review text: In this interesting paper, the author first revisits Rossi's local maximum principle by noticing that if the polynomial hull of a compact set is characterized in terms of plurisubharmonic functions, the proof of the principle becomes simple and, moreover, it can be generalized to almost complex manifolds. Several necessary definitions are included and a discussion illustrating the difference between the holomorphic case and the almost holomorphic case is also presented. In the second part, the author gives a proof of the polynomial convexity of (smooth enough) arcs. The author also presents some next possible steps on the subject.
Mathematics Subject Classification ID: 32E20
Mathematics Subject Classification ID: 32E30
Mathematics Subject Classification ID: 32A10
Mathematics Subject Classification ID: 32U05
Mathematics Subject Classification ID: 32Q60
zbMATH DE Number: 5140642
zbMATH Keywords: polynomial convexity
zbMATH Keywords: almost complex manifold
zbMATH Keywords: local maximum principle
author: Jean-Pierre Rosay
reviewed by: Eugen Pascu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1156345604
OpenAlex ID: W2070138263
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DOI: 10.1307/MMJ/1156345604
description: scientific article; zbMATH DE number 5140642