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

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

2008-05-28

arxiv.org/abs/0805.4257v2

Ann. Inst. Fourier, Grenoble 60, 2 (2010) 683-709

Mathematics

Algebraic Geometry

Scientific paper

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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