Homology and cohomology of hypersurfaces with quadratic singular points in generic position
type: Item
instance of: scholarly article
title: Homology and cohomology of hypersurfaces with quadratic singular points in generic position
zbMATH Open document ID: 1001.57049
DOI: 10.1007/BF02365202
published in: Journal of Mathematical Sciences (New York)
publication date: 1999-09-29T00:00:00Z
full work available at URL: https://eudml.org/doc/68779
review text: The author is mainly interested in hypersurfaces with quadratic singularities and calculates the homology groups of such hypersurfaces. The author uses this calculation to give a topological description of such a hypersurface by means of decomposing it into a connected sum. As a consequence the topological type of the hypersurface is determined by its dimension, degree, and the number of singular points. Note that although the author deals with quadratic singularities, all results obtained can be extended to the case of arbitrary isolated singularities.
Mathematics Subject Classification ID: 57R55
Mathematics Subject Classification ID: 14J70
Mathematics Subject Classification ID: 55N99
zbMATH DE Number: 1337590
zbMATH Keywords: quadratic singularities
author: Nikita Yu. Netsvetaev
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Q3731745
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OpenAlex ID: W2134531087
description: scientific article; zbMATH DE number 1337590