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

top
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

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.