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
@article{AFST_2016_6_25_1_161_0, author = {Trotman, David and van Straten, Duco}, 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}, mrnumber = {3485294}, zbl = {1354.32019}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/afst.1490/} }
TY - JOUR AU - Trotman, David AU - van Straten, Duco 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 - http://archive.numdam.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 Trotman, David %A van Straten, Duco %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 http://archive.numdam.org/articles/10.5802/afst.1490/ %R 10.5802/afst.1490 %G en %F AFST_2016_6_25_1_161_0
Trotman, David; van Straten, Duco. 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. http://archive.numdam.org/articles/10.5802/afst.1490/
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