We prove that weak Whitney regularity for a family of complex hypersurfaces with isolated singularities implies equimultiplicity.
Nous démontrons que la régularité faible de Whitney pour une famille d’hypersurfaces complexes à singularités isolées implique l’équimultiplicité.
DOI: 10.5802/afst.1490
David Trotman 1, 2; Duco van Straten 3
@article{AFST_2016_6_25_1_161_0,
author = {David Trotman and Duco van Straten},
title = {Weak {Whitney} regularity implies equimultiplicity for families of complex hypersurfaces},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {161--170},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 25},
number = {1},
year = {2016},
doi = {10.5802/afst.1490},
zbl = {1354.32019},
mrnumber = {3485294},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1490/}
}
TY - JOUR AU - David Trotman AU - Duco van Straten TI - Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2016 SP - 161 EP - 170 VL - 25 IS - 1 PB - Université Paul Sabatier, Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1490/ DO - 10.5802/afst.1490 LA - en ID - AFST_2016_6_25_1_161_0 ER -
%0 Journal Article %A David Trotman %A Duco van Straten %T Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2016 %P 161-170 %V 25 %N 1 %I Université Paul Sabatier, Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1490/ %R 10.5802/afst.1490 %G en %F AFST_2016_6_25_1_161_0
David Trotman; Duco van Straten. Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 25 (2016) no. 1, pp. 161-170. doi : 10.5802/afst.1490. https://afst.centre-mersenne.org/articles/10.5802/afst.1490/
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