Real algebraic curves and complete intersections
type: Item
instance of: scholarly article
title: Real algebraic curves and complete intersections
zbMATH Open document ID: 0665.14006
author: Wojciech Kucharz
published in: Illinois Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: This paper is devoted to the proof of a special result of complete intersections for real algebraic curves when the curve is contained in an admissible (technical definition in the first page of the paper) real algebraic variety. It applies in particular to the case of affine or projective space and to n-dimensional spheres. This kind of result is not true in the algebraically closed case. The technique of the proof is the following: - prove a lemma of \(C^{\infty}\) complete intersections; - use the resolution of singularities and the theory of strongly algebraic vector bundles which gives in some special cases the fact that \(C^{\infty}\) real line bundles can be represented by strongly algebraic vector bundles.
Mathematics Subject Classification ID: 14Pxx
Mathematics Subject Classification ID: 14M10
Mathematics Subject Classification ID: 14H25
zbMATH DE Number: 4087821
zbMATH Keywords: complete intersections for real algebraic curves
reviewed by: Marie-Françoise Roy
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4087821