Let where and are polynomial maps. A relationship is established between the following two objects: on the one hand, the Newton polygon of the union of the discriminant curve of and its non-properness locus, and on the other, the topological type of the link at infinity of the affine curves and . Some consequences related to the Jacobian Conjecture are obtained.
Soit où et sont des applications polynomiales. Nous établissons le lien qui existe entre le polygone de Newton de la courbe réunion du discriminant et du lieu de non-propreté de et la topologie des entrelacs à l’infini des courbes affines et . Nous en déduisons alors des conséquences liées à la conjecture du jacobien.
Mot clés : applications polynomiales, quotients jacobiens, polygone de Newton, variétés graphées
Keywords: polynomial mappings, jacobian quotients, Newton polygon, graph manifolds
@article{AIF_2003__53_2_399_0, author = {Artal Bartolo, Enrique and Cassou-Nogu\`es, Philippe and Maugendre, H\'el\`ene}, title = {Quotients jacobiens d'applications polynomiales}, journal = {Annales de l'Institut Fourier}, pages = {399--428}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {53}, number = {2}, year = {2003}, doi = {10.5802/aif.1948}, mrnumber = {1990002}, zbl = {1100.14529}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/aif.1948/} }
TY - JOUR AU - Artal Bartolo, Enrique AU - Cassou-Noguès, Philippe AU - Maugendre, Hélène TI - Quotients jacobiens d'applications polynomiales JO - Annales de l'Institut Fourier PY - 2003 SP - 399 EP - 428 VL - 53 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.1948/ DO - 10.5802/aif.1948 LA - fr ID - AIF_2003__53_2_399_0 ER -
%0 Journal Article %A Artal Bartolo, Enrique %A Cassou-Noguès, Philippe %A Maugendre, Hélène %T Quotients jacobiens d'applications polynomiales %J Annales de l'Institut Fourier %D 2003 %P 399-428 %V 53 %N 2 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.1948/ %R 10.5802/aif.1948 %G fr %F AIF_2003__53_2_399_0
Artal Bartolo, Enrique; Cassou-Noguès, Philippe; Maugendre, Hélène. Quotients jacobiens d'applications polynomiales. Annales de l'Institut Fourier, Volume 53 (2003) no. 2, pp. 399-428. doi : 10.5802/aif.1948. http://www.numdam.org/articles/10.5802/aif.1948/
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