On contractible curves in the complex affine plane
type: Item
instance of: scholarly article
title: On contractible curves in the complex affine plane
zbMATH Open document ID: 0876.14018
author: M. Miyanishi
author: Rajendra Gurjar
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1997-12-01T00:00:00Z
review text: Concerning the topologically contractible curves embedded in the affine plane defined over the complex numbers we shall present new conceptual proofs to the theorem of \textit{S. S. Abhyankar} and \textit{T. Moh} [J. Reine Angew. Math. 276, 148-166 (1975; Zbl 0332.14004)] and the theorem of \textit{M. G. Zajdenberg} and \textit{V. Ya Lin} [Sov. Math., Dokl. 28, 200-204 (1983); translation from Dokl. Adad. Nauk SSSR 271, 1048-1052 (1983; Zbl 0564.14014)] which are based on the structure theorems of non-complete algebraic surfaces.
reviewed by: M. Miyanishi
Mathematics Subject Classification ID: 14H45
Mathematics Subject Classification ID: 14E25
Mathematics Subject Classification ID: 14J26
zbMATH DE Number: 1044124
zbMATH Keywords: embedding theorem of Abhyankar-Moh
zbMATH Keywords: topologically contractible curves
zbMATH Keywords: non-complete algebraic surfaces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178225344
OpenAlex ID: W2019968404
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DOI: 10.2748/TMJ/1178225344
description: scientific article; zbMATH DE number 1044124