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arXiv 2008-05-28 DOI 10.5802/aif.2536 0 views

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

Barroso, Evelia R. García · Gwoździewicz, Janusz

Original · EN

In this paper we characterize, in two different ways, the Newton polygons which are jacobian Newton polygons of a 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.

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