Q1820830
type: Item
instance of: scholarly article
title: Cycle exceptionnel de l'éclatement d'un idéal définissant l'origine de \({\mathbb C}^ n\) et applications. (Exceptional cycle of the blowing-up of an ideal defining the origin of \({\mathbb C}^ n\) and applications)
zbMATH Open document ID: 0615.14006
author: Alain Hénaut
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74761
review text: Let I be an ideal of \({\mathbb{C}}\{z_ 1,...,z_ n\}\) which defines the origin in \({\mathbb{C}}^ n\). Given a suitable choice of generators of \(I=(f_ 1,...,f_{n+p})\), we give an explicit method to determine the cycle of \({\mathbb{P}}^{n+p-1}\) associated with the exceptional fiber of the blowing-up of I in \({\mathbb{C}}^ n\). We also study the blowing-up of an equimultiple family of punctual ideals parametrized by a germ of a reduced complex analytic space.
Mathematics Subject Classification ID: 14E15
Mathematics Subject Classification ID: 14C25
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 14B05
zbMATH DE Number: 3995854
zbMATH Keywords: exceptional fiber
zbMATH Keywords: blowing-up of an equimultiple family of punctual ideals
zbMATH Keywords: multiplicities
MaRDI profile type: Publication
OpenAlex ID: W2314987675
cites work: Q4097533
cites work: Intersection theory in analytic geometry
cites work: Points de platitude d'un morphisme d'espaces analytiques complexes
cites work: Q4195061
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cites work: Q3898745
cites work: Q5829838
cites work: Q4047653
cites work: Q3915091
cites work: Q5682591
cites work: Q5732721
DOI: 10.5802/AIF.1102
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published in: Annales de l’institut Fourier
label: Cycle exceptionnel de l'éclatement d'un idéal définissant l'origine de \({\mathbb C}^ n\) et applications. (Exceptional cycle of the blowing-up of an ideal defining the origin of \({\mathbb C}^ n\) and applications)
description: scientific article; zbMATH DE number 3995854