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I am seeking methods to see if a polynomial $f \in O(\mathbb{C^2},0)$ is irreducible. The subject is really new to my and I am studying for myself, for which I don't see about this subject.

would thank them a lot they could provide me some bibliography where to read about this topic

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    What sort of "methods", theoretical, algorithms? For what intended applications? You need to say more to get a good answer.2010-09-14
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    uy! really any method is welcome, Believe me, I would read. I'm reading a book about desingularizacion of vector fields, this book gives a result about how to calculate the multiplicity of intersection of two divisors, the theorem says roughly the following: Let Editing wait....2010-09-14
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    Theorem: The intersection of an irreducible local divisor $D_f$ with another effective local divisor $D_g$ is isolated if and only if the germ $g\left( \tau \right) $ is not identically zero, and multiplicity $D_{f}\overset{0}{.}D_{g}$ of this intersection is equal to ther order $ord_{0}\left( g\left( \tau \right) \right) $ I need examples, therefore, need to read a little about the criteria for irreducible polynomials in two complex variables2010-09-14

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