Stratification theory from the Newton polyhedron point of view

Abderrahmane, Ould M.

doi:10.5802/aif.2017

Stratification theory from the Newton polyhedron point of view
[La théorie de la stratification relatif à un polyèdre de Newton]

Abderrahmane, Ould M.¹

¹ Saitama University, Faculty of Science, Department of Mathematics, 255 Shimo-Okubo, Urawa 338-8570 (Japon)

Annales de l'Institut Fourier, Tome 54 (2004) no. 2, pp. 235-252.

Résumé
Abstract

Récement, T. Fukui et L. Paunescu ont introduit une version relative avec poids de la condition $(w)$ -régularité. Dans cette approche nous considérons les conditions $(w)$ - régularité et $(c)$ -régularité liées à une filtration de Newton.

Recently, T. Fukui and L. Paunescu introduced a weighted version of the $(w)$ -regularity condition and Kuo’s ratio test condition. In this approach, we consider the $(w)$ - regularity condition and $(c)$ -regularity related to a Newton filtration.

Zbl

DOI : 10.5802/aif.2017

Classification : 14B05, 58A35, 14M25
Keywords: stratification, regularity condition, Newton polyhedron
Mot clés : stratification, condition de régularité, polyèdre de Newton

Affiliations des auteurs :

Abderrahmane, Ould M. ¹

¹ Saitama University, Faculty of Science, Department of Mathematics, 255 Shimo-Okubo, Urawa 338-8570 (Japon)

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     title = {Stratification theory from the {Newton} polyhedron point of view},
     journal = {Annales de l'Institut Fourier},
     pages = {235--252},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {54},
     number = {2},
     year = {2004},
     doi = {10.5802/aif.2017},
     zbl = {1060.58005},
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     url = {http://www.numdam.org/articles/10.5802/aif.2017/}
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Abderrahmane, Ould M. Stratification theory from the Newton polyhedron point of view. Annales de l'Institut Fourier, Tome 54 (2004) no. 2, pp. 235-252. doi : 10.5802/aif.2017. http://www.numdam.org/articles/10.5802/aif.2017/

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