A discriminant criterion of irreducibility

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概要

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• In this paper we give a criterion of irreducibility for a complex power series in two variables, using the notion of jacobian Newton diagrams, defined with respect to any direction. Then we apply our method to study the branches of plane algebraic curves. For an affine plane curve with one point at infinity, we also obtain a criterion for an analytical irreducibility in terms of the Newton diagram of a discriminant, without using coordinates centered at the point at infinity.

• 国立大学法人 東京工業大学大学院理工学研究科数学専攻の論文

著者

• Barroso Evelia

  Universidad de La Laguna Departamento de Matemática Fundamental

• Gwoździewicz Janusz

  Technical University Department of Mathematics

関連論文

• A discriminant criterion of irreducibility

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