A discriminant criterion of irreducibility

Evelia R. García Barroso, Janusz Gwoździewicz
2012 Kodai Mathematical Journal  
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.
doi:10.2996/kmj/1341401060 fatcat:ai3ousdzm5gablpb45yz4v42r4