ArticleOriginal scientific text

Title

Remark on the equisingularity of families of affine plane curves

Authors 1, 2

Affiliations

  1. Institute of Mathematics, P.O. Box 631, Bo-Ho, Hanoi, Vietnam
  2. Department of Mathematics, Dalat University, Dalat, Vietnam

Abstract

We give some criteria for the equisingularity of families of affine plane curves.

Keywords

affine curves, singularity, equisingularity, Milnor number, Euler characteristic, Whitney's conditions

Bibliography

  1. J. Briançon et J.-P. Speder, Les conditions de Whitney impliquent 'μ* constant', Ann. Inst. Fourier (Grenoble) 26 (2) (1976), 153-163.
  2. A. Dimca, Singularities and Topology of Hypersurfaces, Universitex, Springer, New York, 1992.
  3. Hà Huy Vui et Lê D ung Tráng, Sur la topologie des polynômes complexes, Acta Math. Vietnam. 9 (1984), 21-32.
  4. Hà Huy Vui and Phạkm Tien Son, Topology of families of affine plane curves, Institute of Mathematics, Hanoi, Vietnam, preprint 1, 1997.
  5. Lê Dũng Tráng, Topologie des singularités des hypersurfaces complexes, Singularités à Cargèse, Astérisque 7-8 (1973), 171-182.
  6. B. Teissier, Cycles évanescents, sections planes et conditions de Whitney, Singularités à Cargèse, Astérisque 7-8 (1973), 285-362.
Pages:
275-280
Main language of publication
English
Received
1997-06-28
Published
1998
Exact and natural sciences