Discriminant of a Germ {Phi}: (C2, 0)->(C2, 0) and Seifert Fibred Manifolds |
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Authors: | Maugendre Helene |
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Affiliation: | Centre de Mathématiques et d'Informatique 39 rue F. Joliot-Curie, 13453 Marseille Cedex 13, France. E-mail: maugendr{at}gyptis.univ-mrs.fr |
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Abstract: | Let f and g be two analytic function germs without common branches.We define the Jacobian quotients of (g, f), which are firstorder invariants of the discriminant curve of (g, f),and we prove that they only depend on the topological type of(g, f). We compute them with the help of the topology of (g,f). If g is a linear form transverse to f, the Jacobian quotientsare exactly the polar quotients of f and we affirm the resultsof D. T. Lê, F. Michel and C. Weber. |
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