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
• DOI: 10.4067/S0716-09172012000400002
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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)

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