Théorème de Kuiper—Kuo—Bochnak—Lojasiewicz à l'infini

Pierrette Cassou-Noguès; Ha Huy Vui

Annales de la Faculté des sciences de Toulouse : Mathématiques (1996)

  • Volume: 5, Issue: 3, page 387-406
  • ISSN: 0240-2963

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Cassou-Noguès, Pierrette, and Ha Huy Vui. "Théorème de Kuiper—Kuo—Bochnak—Lojasiewicz à l'infini." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.3 (1996): 387-406. <http://eudml.org/doc/73387>.

@article{Cassou1996,
author = {Cassou-Noguès, Pierrette, Ha Huy Vui},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {polynomial; fibration; links at infinity},
language = {fre},
number = {3},
pages = {387-406},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Théorème de Kuiper—Kuo—Bochnak—Lojasiewicz à l'infini},
url = {http://eudml.org/doc/73387},
volume = {5},
year = {1996},
}

TY - JOUR
AU - Cassou-Noguès, Pierrette
AU - Ha Huy Vui
TI - Théorème de Kuiper—Kuo—Bochnak—Lojasiewicz à l'infini
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1996
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 3
SP - 387
EP - 406
LA - fre
KW - polynomial; fibration; links at infinity
UR - http://eudml.org/doc/73387
ER -

References

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  1. [BL] Bochnak ( J.) et Lojasiewicz ( S.) .— A converse of the Kuiper-Kuo theorem, Proc. of Liverpool Singularities Symposium, SpringerL.N.M., Vol. 1, 192 (1971), pp. 246-254. Zbl0221.58002MR291971
  2. [B] Broughton ( S.A.) .— Milnor numbers and the topology of polynomial hypersurfaces, Invent. Math.92 (1988), pp. 217-241. Zbl0658.32005MR936081
  3. [CK] Chadzynski ( J.) et Krasinski ( T.) .— Exponent of growth of polynomial mappings of C2 into C, Singularities (1988), Banach Center Publications, Vol. 20, PWN-Polish Scientific Publishers, Warsaw. Zbl0661.32008MR1101836
  4. [H] Ha Huy Vui .— A version at infinity of the Kuiper—Kuo theorem. Preprint. Zbl0889.58014MR1335043
  5. [H2] Ha Huy Vui .— On the irregular at infinity algebraic plane curves, Preprint Institute of Mathematics National Center for Scientific Rechearch of Vietnam. Zbl0810.57002MR1126395
  6. [H3] Ha Huy Vui .- Sur l'irrégularité du diagramme splice pour l'entrelacs à l'infini des courbes planes, Preprint. MR1126395
  7. [HZ] Ha Huy Vui et Zaharia ( A.) .— Families of polynomials with total Milnor number constant, Preprint, Univ. Nice. Zbl0844.32021
  8. [K] Kuiper ( N.H.) .— C1-equivalence of functions near isolated critical points. Proc. Sym. in Infinite Dimensional Topology (1967), Ann. Math. Stud.69, Princeton (1972). Zbl0236.58001MR413161
  9. [Ku] Kuo ( T.C.) .— On C0-sufficiency of jets of potential functions, Topology8 (1969), pp. 167-171. Zbl0183.04601MR238338
  10. [M] Milnor ( J.) .— Singular points of complex hypersurfaces, Ann. Math. Stud., Princeton, 61 (1968). Zbl0184.48405MR239612
  11. [N] Némethi ( A.) .— Lefschetz theory for complex affine varieties, Rev. Roumaine Math. Pures Appl.33 (1988), pp. 233-250. Zbl0665.14003MR948160
  12. [NL] Neumann ( W.D.) et Le Van Thanh .— On irregular links at infinity of algebraic plane curves, Math. Annalen295 (1993), pp. 239-244. Zbl0789.14031MR1202391
  13. [NZ1] Némethi ( A.) et Zaharia ( A.) .— Milnor fibration at infinity, Indag. Math.3 (1992), pp. 323-335. Zbl0806.57021MR1186741
  14. [NZ2] Némethi ( A.) et Zaharia ( A.) .— On the Bifurcation Set of a Polynomial Function and Newton Boundary, R.I.M.S.26 (1990), pp. 681-689. Zbl0736.32024MR1081511
  15. [S] Suzuki ( M.) .- Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace C2, J. Math. Soc. Japan26, pp. 241-257. Zbl0276.14001MR338423

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