Analyticité des conditions de Whitney strictes
Annales de l'Institut Fourier, Tome 23 (1973) no. 3, pp. 215-226.

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< 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.

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.

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     author = {Speder, Jean-Paul},
     title = {Analyticit\'e des conditions de {Whitney} strictes},
     journal = {Annales de l'Institut Fourier},
     pages = {215--226},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {23},
     number = {3},
     year = {1973},
     doi = {10.5802/aif.477},
     mrnumber = {52 #8493},
     zbl = {0281.32007},
     language = {fr},
     url = {https://numdam.org/articles/10.5802/aif.477/}
}
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Speder, Jean-Paul. Analyticité des conditions de Whitney strictes. Annales de l'Institut Fourier, Tome 23 (1973) no. 3, pp. 215-226. doi : 10.5802/aif.477. https://numdam.org/articles/10.5802/aif.477/

[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”. | EuDML | Numdam | Zbl

[2] H. Hironaka, Normal cones in analytic Whitney stratifications. Publications Mathématiques n° 31, I.H.E.S. (1970). | EuDML | Numdam | Zbl

[3] H. Whitney, Tangents to analytic variety, Annals of Mathematics, Vol 81 (1965). | MR | Zbl

[4] O. Zariski, Studies in Equisingularity II, Equisingularity in codimension 1 (and characteristic zero), American J. of Mathematics, Vol 87 (1965). | Zbl

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