Topological properties of certain incomplete regular intersections
type: Item
instance of: scholarly article
title: Topological properties of certain incomplete regular intersections
zbMATH Open document ID: 0548.14018
DOI: 10.1007/BF01106443
published in: Journal of Soviet Mathematics
publication date: 1984-01-01T00:00:00Z
review text: Varieties are studied which are regular intersections of hypersurfaces of number codimension plus 1. The author gives formulas for the Euler characteristic and, in the case of codimension 2, for the Todd genus and the signature. The determinantal varieties are such incomplete intersections. As a list of examples curves in the complex projective 3- space, surfaces in 4-space and 3-varieties in 5-space are considered and conditions are given for it to be determinantal loci or not.
Mathematics Subject Classification ID: 14M10
Mathematics Subject Classification ID: 14M12
Mathematics Subject Classification ID: 14F45
zbMATH DE Number: 3873492
zbMATH Keywords: determinantal loci
zbMATH Keywords: regular intersections of hypersurfaces
zbMATH Keywords: Euler characteristic
zbMATH Keywords: Todd genus
zbMATH Keywords: signature
zbMATH Keywords: determinantal varieties
zbMATH Keywords: incomplete intersections
author: Nikita Yu. Netsvetaev
reviewed by: Konrad Drechsler
MaRDI profile type: Publication
cites work: Q3866808
cites work: Q5560333
cites work: Q4065643
cites work: Q5609137
cites work: Topology of nonsingular complex hypersurfaces
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cites work: Conjugacy of local \(C^\infty\) mappings
cites work: Q5771577
cites work: Q5801760
cites work: Q5670687
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description: scientific article; zbMATH DE number 3873492