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Subjects
14-XX Algebraic geometry
14Rxx Affine geometry
14R10 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)

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Quotients jacobiens d'applications polynomiales

Enrique Artal Bartolo, Philippe Cassou-Noguès, Hélène Maugendre (2003)

Annales de l’institut Fourier

Soit $φ : = (f, g) : ℂ^{2} \to ℂ^{2}$ où $f$ et $g$ 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 $φ$ et la topologie des entrelacs à l’infini des courbes affines $f^{- 1} (0)$ et $g^{- 1} (0)$ . Nous en déduisons alors des conséquences liées à la conjecture du jacobien.

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