Examples of finitely determined map-germs of corank 2 from \(n\)-space to \((n + 1)\)-space
type: Item
instance of: scholarly article
zbMATH Open document ID: 1307.58019
DOI: 10.1142/S0129167X1450044X
author: Ayşe Altıntaş Sharland
published in: International Journal of Mathematics
publication date: 2014-08-08T00:00:00Z
full work available at URL: https://arxiv.org/abs/1202.4992
Mathematics Subject Classification ID: 58K40
Mathematics Subject Classification ID: 32S30
zbMATH DE Number: 6327996
zbMATH Keywords: Mond conjecture
zbMATH Keywords: finitely determined map-germ
zbMATH Keywords: miniversal unfolding
MaRDI profile type: Publication
arXiv ID: 1202.4992
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title: Examples of finitely determined map-germs of corank 2 from \(n\)-space to \((n + 1)\)-space
review text: The Mond conjecture states that the number of parameters needed for a miniversal unfolding of a finitely determined map-germ from \(n\)-space to \((n+1)\)-space is less than or equal to the rank of the \(n^{th}\) homology group of the image of a stable perturbation of the map-germ. The author gives examples of finitely determined map-germs of corank \(2\) from \(3\)-space to \(4\)-space satisfying the conjecture. She introduces a new type of operation to generate series of finitely determined map-germs in dimensions \((n, n+1)\) from a given one in dimensions \((n-1, n)\). She presents more examples in dimensions \((4,5)\) and \((5, 6)\) based on her construction, and verifies the conjecture for them.
reviewed by: Maria Aparecida Soares Ruas
description: scientific article; zbMATH DE number 6327996