Remark on the equisingularity of families of affine plane curves

• Autorzy: Hà Huy Vui , Phạkm Tien Son
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

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

Kategorie tematyczne

• 57Q45: Knots and links (in high dimensions)
• 57M25: Knots and links in S 3
• 32S55: Milnor fibration; relations with knot theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 68
• Numer: 3
• Strony: 275-280

Daty

wydano

1998

otrzymano

1997-06-28

Twórcy

autor

Hà Huy Vui

• Institute of Mathematics, P.O. Box 631, Bo-Ho, Hanoi, Vietnam

autor

Phạkm Tien Son

• Department of Mathematics, Dalat University, Dalat, Vietnam

Bibliografia

• [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.