Analyticité des conditions de Whitney strictes

Jean-Paul Speder

Annales de l'institut Fourier (1973)

  • Volume: 23, Issue: 3, page 215-226
  • ISSN: 0373-0956

Abstract

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Let X be a reduced pure dimensional complex-analytic space and Y a nonsingular pure dimensional subspace of X such that dimension Y < dimension X .The set of points of Y at which the strict Whitney conditions are not satisfied by ( X , Y ) is a proper analytic subspace of Y .

How to cite

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Speder, Jean-Paul. "Analyticité des conditions de Whitney strictes." Annales de l'institut Fourier 23.3 (1973): 215-226. <http://eudml.org/doc/74139>.

@article{Speder1973,
abstract = {Soient $X$ un espace analytique complexe réduit de dimension pure et $Y$ un sous-espace lisse de $X$ de dimension pure tel que dimension $Y&lt; $ dimension $X$.L’ensemble des points de $Y$ en lesquels les conditions de Whitney strictes ne sont pas satisfaites par $(X,Y)$ est un sous-espace analytique propre de $Y$.},
author = {Speder, Jean-Paul},
journal = {Annales de l'institut Fourier},
language = {fre},
number = {3},
pages = {215-226},
publisher = {Association des Annales de l'Institut Fourier},
title = {Analyticité des conditions de Whitney strictes},
url = {http://eudml.org/doc/74139},
volume = {23},
year = {1973},
}

TY - JOUR
AU - Speder, Jean-Paul
TI - Analyticité des conditions de Whitney strictes
JO - Annales de l'institut Fourier
PY - 1973
PB - Association des Annales de l'Institut Fourier
VL - 23
IS - 3
SP - 215
EP - 226
AB - Soient $X$ un espace analytique complexe réduit de dimension pure et $Y$ un sous-espace lisse de $X$ de dimension pure tel que dimension $Y&lt; $ dimension $X$.L’ensemble des points de $Y$ en lesquels les conditions de Whitney strictes ne sont pas satisfaites par $(X,Y)$ est un sous-espace analytique propre de $Y$.
LA - fre
UR - http://eudml.org/doc/74139
ER -

References

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  1. [1] G. CANUTO et J.P. SPEDER, Un critère d'éclatement pour les conditions de Whitney, A paraître aux “Annali della Scuola Normale Superiore di Pisa”. Zbl0285.32007
  2. [2] H. HIRONAKA, Normal cones in analytic Whitney stratifications. Publications Mathématiques n° 31, I.H.E.S. (1970). Zbl0219.57022
  3. [3] H. WHITNEY, Tangents to analytic variety, Annals of Mathematics, Vol 81 (1965). Zbl0152.27701MR33 #745
  4. [4] O. ZARISKI, Studies in Equisingularity II, Equisingularity in codimension 1 (and characteristic zero), American J. of Mathematics, Vol 87 (1965). Zbl0146.42502

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