A discriminant criterion of irreducibility

Details A discriminant criterion of irreducibility A discriminant criterion of irreducibility

2009-11-19

arxiv.org/abs/0911.3771v1

Mathematics

Algebraic Geometry

Scientific paper

In this paper we give a criterion of irreducibility for a complex power
series in two variables, using the notion of jacobian Newton diagrams, defined
with respect to any direction. Moreover we study the singularity at infinity of
a plane affine curve with one point at infinity for which the global
counterpart of our main result holds.

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