On the approximate Jacobian Newton diagrams of an irreducible plane curve

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概要

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• We introduce the notion of an approximate Jacobian Newton diagram which is the Jacobian Newton diagram of the morphism (f(k),f), where f is a branch and f(k) is a characteristic approximate root of f. We prove that the set of all approximate Jacobian Newton diagrams is a complete topological invariant. This generalizes theorems of Merle and Ephraim about the decomposition of the polar curve of a branch.

著者

• Garcia Barroso

  Departamento De Matematica Fundamental Facultad De Matematicas Universidad De La Laguna

• García Barroso

  Departamento de Matemática Fundamental, Facultad de Matemáticas, Universidad de La Laguna

• Gwoździewicz Janusz

  Department of Mathematics, Technical University

関連論文

• Newton diagrams and equivalence of plane curve germs
• On the approximate Jacobian Newton diagrams of an irreducible plane curve

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