Exemples de polynômes dont toutes les fibres sont lisses et irréductibles

E. Artal Bartolo; P. Cassou-Noguès; I. Luengo Velasco

Cours de l'institut Fourier (1993)

  • Volume: S24, page 11-23

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Artal Bartolo, E., Cassou-Noguès, P., and Luengo Velasco, I.. "Exemples de polynômes dont toutes les fibres sont lisses et irréductibles." Cours de l'institut Fourier S24 (1993): 11-23. <http://eudml.org/doc/272711>.

@article{ArtalBartolo1993,
author = {Artal Bartolo, E., Cassou-Noguès, P., Luengo Velasco, I.},
journal = {Cours de l'institut Fourier},
language = {fre},
pages = {11-23},
publisher = {Institut des Mathématiques Pures - Université Scientifique et Médicale de Grenoble},
title = {Exemples de polynômes dont toutes les fibres sont lisses et irréductibles},
url = {http://eudml.org/doc/272711},
volume = {S24},
year = {1993},
}

TY - JOUR
AU - Artal Bartolo, E.
AU - Cassou-Noguès, P.
AU - Luengo Velasco, I.
TI - Exemples de polynômes dont toutes les fibres sont lisses et irréductibles
JO - Cours de l'institut Fourier
PY - 1993
PB - Institut des Mathématiques Pures - Université Scientifique et Médicale de Grenoble
VL - S24
SP - 11
EP - 23
LA - fre
UR - http://eudml.org/doc/272711
ER -

References

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  1. [ACL] E. Artal Bartolo, P. Cassou-Noguès and I. Luengo Velasco, On polynomials whose fibers are irreducible with no critical points (to appear). Zbl0803.13009MR1282228
  2. [CN1] P. Cassou-Noguès, Entrelacs toriques itérés et intégrales associées à une courbe plane, Séminaire de théorie de nombres. Bordeaux2 (1990), 237-331. Zbl0746.14002MR1081728
  3. [CN2] P. Cassou-Noguès. Sur la généralisation d'un théorème de Kouchnirenko (to appear). Zbl0863.32011
  4. [EN] D. Eisenbud and W.D. Neumann, Three-Dimensional link thoery and invariants of plane curve singularities, Annals of Mathematic Studies101, Princeton Univ. Press, PrincetonN.Y., 1985. Zbl0628.57002MR817982
  5. [K] S. Kaliman, On the Jacobian Conjecture, Proc. Amer. Math. Soc. (to appear). Zbl0782.13017MR1106179
  6. [LW] Le Dung Trang et C. Weber, La Conjecture Jacobienne pour n = 2 , Preprint. 
  7. [N] W.D. Neumann, Complex algebraic plane curves via their links at infinity, Invent. Math.98 (1989), 445-489. Zbl0734.57011MR1022302
  8. [O] M. Oka, On the boundary to the Jacobian problem, Kodai Math. J.6 (1983), 419-433. Zbl0526.13013MR717330
  9. [S] M. Susuki, Propriétés topologiques des polynômes de deux variables complexes, et automorphismes algébriques de l’espace C 2 , J. Math. Soc. Japan26 (1974), 241-260. Zbl0276.14001MR338423
  10. [V] A. Vistoli, The number of reducible hypersurfaces in a pencil, Invent. Math.112 (1993), 247-262. Zbl0799.14024MR1213102
  11. [Z] M.G. Zaidenberg, Isotrivial families of curves on affine surfaces and characterization of the affine plane., Math. USSR Izvestiya30 (1988), 503-532. Zbl0666.14018MR903623

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