Hypersurface singularities, codimension two complete intersections and tangency sets
type: Item
instance of: scholarly article
title: Hypersurface singularities, codimension two complete intersections and tangency sets
zbMATH Open document ID: 0647.14022
DOI: 10.1007/BF00181598
author: A. D. R. Choudary
author: Alexandru Dimca
published in: Geometriae Dedicata
publication date: 1987-01-01T00:00:00Z
review text: The authors investigate the closed subvarieties of projective n-space over the field \({\mathbb{C}}\) which are not hypersurfaces but whose homogeneous ideal is generated by two polynomials P and Q. More precisely they consider the hypersurface singularity in affine \((n+1)\)-space defined by \(P+Q=0\) and give conditions (necessary and sufficient), in terms of the variety defined by P and Q, in order that the hypersurface has an isolated singularity at the origin. An application concerns the set of points where two complete intersections V and W in projective space have the same tangent space.
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 14M10
Mathematics Subject Classification ID: 14M07
zbMATH DE Number: 4055771
zbMATH Keywords: hypersurface singularity
zbMATH Keywords: complete intersections
zbMATH Keywords: tangent space
reviewed by: Paolo Valabrega
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4055771