Lê constant families of singular hypersurfaces

Callejas-Vedregal, Roberto ^[1] ; Jorge Pérez, Víctor H. ^[2] ; Saia, M. J. ^[2] ; Tomazella., J. M. ^[3]
1. [1] Universidade Federal da Paraíba
  
  Universidade Federal da Paraíba
  
  Brasil
2. [2] Universidade de São Paulo
  
  Universidade de São Paulo
  
  Brasil
3. [3] Universidade Federal de San Carlos.
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Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 4, 2012, págs. 333-343
Idioma: inglés
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Resumen
- We investigate the constancy of the Le numbers of one parameter deformations F :(C X Cn, 0) — (C, 0) of holomorphic germs of functions f :(Cn, 0) — (C, 0) which have singular set with any dimension s > 1. WecharacterizeLe constant deformations in terms of the non-splitting of the polar varieties and also from the integral closure of the ideal Jz (F) in On+1 generated by the partial derivatives of F with respect to the variables z = (z!,...,zn)