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

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.

preprint2009arXivOpen access
Evelia R. García BarrosoJanusz Gwoździewicz
math.AG
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Open access2 authors1 topic
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Evelia R. García BarrosoJanusz Gwoździewicz

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