Displaying similar documents to “A pseudo Laguerre method”

Note on the Newton number.

Gwoździewicz, Janusz (2008)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Indices of 1-forms and Newton polyhedra.

Alexander Esterov (2005)

Revista Matemática Complutense

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A formula of Matsuo Oka (1990) expresses the Milnor number of a germ of a complex analytic map with a generic principal part in terms of the Newton polyhedra of the components of the map. In this paper this formula is generalized to the case of the index of a 1-form on a local complete intersection singularity (Theorem 1.10, Corollaries 1.11, 4.1). In particular, the Newton polyhedron of a 1-form is defined (Definition 1.6). This also simplifies the Oka formula in some particular cases...

Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility

Evelia R. García Barroso, Janusz Gwoździewicz (2010)

Annales de l’institut Fourier

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In this paper we characterize, in two different ways, the Newton polygons which are jacobian Newton polygons of a plane branch. These characterizations give in particular combinatorial criteria of irreducibility for complex series in two variables and necessary conditions which a complex curve has to satisfy in order to be the discriminant of a complex plane branch.