Lê constant families of singular hypersurfaces

Authors

  • Roberto Callejas-Vedregal Universidade Federal de Paraiba.
  • Víctor H. Jorge Pérez Universidade de Sao Paulo.
  • M. J. Saia Universidade de Sao Paulo.
  • J. M. Tomazella. Universidade Federal de San Carlos.

DOI:

https://doi.org/10.4067/S0716-09172012000400002

Keywords:

Lê constant families, polar varieties, familias constantes de Lê, variedades polares.

Abstract

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)

Author Biographies

Roberto Callejas-Vedregal, Universidade Federal de Paraiba.

Departamento de Matemática.

Víctor H. Jorge Pérez, Universidade de Sao Paulo.

Departamento de Matemática.

M. J. Saia, Universidade de Sao Paulo.

Departamento de Matemática.

J. M. Tomazella., Universidade Federal de San Carlos.

Departamento de Matemática.

References

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Published

2013-02-19

How to Cite

[1]
R. Callejas-Vedregal, V. H. Jorge Pérez, M. J. Saia, and J. M. Tomazella., “Lê constant families of singular hypersurfaces”, Proyecciones (Antofagasta, On line), vol. 31, no. 4, pp. 333-343, Feb. 2013.

Issue

Section

Artículos