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arXiv · 0911.3771

A discriminant criterion of irreducibility

Evelia R. García Barroso·Janusz Gwoździewicz
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Abstract

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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Evelia R. García Barroso, Janusz Gwoździewicz. 2009-11-19. A discriminant criterion of irreducibility. https://doi.org/10.2996/kmj/1341401060

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