Q1572647
type: Item
instance of: scholarly article
title: Reparamétrisation universelle d'une famille de cycles : une nouvelle approche des relations d'équivalence méromorphe. (Universal reparametrization of a family of cycles: a new approach about meromorphic equivalence relations)
zbMATH Open document ID: 0966.32003
author: David Mathieu
publication date: 2000-07-19T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75452
review text: If \(Z\) is a reduced complex analytic space of finite dimension, the author investigates the structure of all closed \(n\)-cycles of \(Z\) trying to introduce a finite dimensional analytic structure on some nice subsets of this space. Such a subset may be the set of cycles described by an analytic family of \(n\)-cycles parametrized by a weakly normal space \(S\) and, as the structure should not depend on the parametrizing space \(S\), the author is brought to the study of a problem of universal reparametrization. The meromorphic families of \(n\)-cycles of \(Z\) and a universal reparametrization problem in this context are also studied.
reviewed by: Eugen Pascu
Mathematics Subject Classification ID: 32C15
Mathematics Subject Classification ID: 32C25
Mathematics Subject Classification ID: 32H02
Mathematics Subject Classification ID: 32H04
Mathematics Subject Classification ID: 46G20
Mathematics Subject Classification ID: 54B15
zbMATH DE Number: 1478818
zbMATH Keywords: meromorphic and analytic families of cycles
zbMATH Keywords: meromorphic and analytic equivalence relations
zbMATH Keywords: analytic structure on a quotient
zbMATH Keywords: geometric flattening
MaRDI profile type: Publication
OpenAlex ID: W2329796610
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DOI: 10.5802/AIF.1788
published in: Annales de l’institut Fourier
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label: Reparamétrisation universelle d'une famille de cycles : une nouvelle approche des relations d'équivalence méromorphe. (Universal reparametrization of a family of cycles: a new approach about meromorphic equivalence relations)
description: scientific article; zbMATH DE number 1478818