Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility
classification
🧮 math.AG
keywords
complexnewtonpolygonsbranchcriteriairreducibilityjacobianplane
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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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