Topology of families of affine plane curves

Hà Huy Vui; Pham Tien Son

Annales Polonici Mathematici (1999)

  • Volume: 71, Issue: 2, page 129-139
  • ISSN: 0066-2216

Abstract

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We determine bifurcation sets of families of affine curves and study the topology of such families.

How to cite

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Hà Huy Vui, and Pham Tien Son. "Topology of families of affine plane curves." Annales Polonici Mathematici 71.2 (1999): 129-139. <http://eudml.org/doc/262765>.

@article{HàHuyVui1999,
abstract = {We determine bifurcation sets of families of affine curves and study the topology of such families.},
author = {Hà Huy Vui, Pham Tien Son},
journal = {Annales Polonici Mathematici},
keywords = {affine curves; singularity; equisingularity; Milnor number; polynomial families of affine plane curves; semi-cycles vanishing at infinity},
language = {eng},
number = {2},
pages = {129-139},
title = {Topology of families of affine plane curves},
url = {http://eudml.org/doc/262765},
volume = {71},
year = {1999},
}

TY - JOUR
AU - Hà Huy Vui
AU - Pham Tien Son
TI - Topology of families of affine plane curves
JO - Annales Polonici Mathematici
PY - 1999
VL - 71
IS - 2
SP - 129
EP - 139
AB - We determine bifurcation sets of families of affine curves and study the topology of such families.
LA - eng
KW - affine curves; singularity; equisingularity; Milnor number; polynomial families of affine plane curves; semi-cycles vanishing at infinity
UR - http://eudml.org/doc/262765
ER -

References

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  1. [1] Hà Huy Vui, Sur la fibration globale des polynômes de deux variables complexes, C. R. Acad. Sci. Paris Sér. I 309 (1989), 231-234. Zbl0672.32004
  2. [2] Hà Huy Vui, La formule de Picard-Lefschetz affine, ibid. 321 (1995), 747-750. 
  3. [3] Hà Huy Vui et Lê D ung Tráng, Sur la topologie des polynômes complexes, Acta Math. Vietnam. 9 (1984), 21-32. 
  4. [4] W. D. Neumann, Complex algebraic plane curves via their links at infinity, Invent. Math. 98 (1989), 445-489. Zbl0734.57011
  5. [5] F. Pham, Vanishing homologies and the n variables saddlepoint method, in: Proc. Sympos. Pure Math. 40, Amer. Math. Soc., 1983, 310-333. 
  6. [6] M. Suzuki, Propriétés topologiques des polynômes de deux variables complexes, et automorphismes algébriques de l'espace ℂ², J. Math. Soc. Japan 26 (1974), 241-257. Zbl0276.14001
  7. [7] R. Thom, Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc. 75 (1969), 249-312. Zbl0197.20502

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