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Answer by F Zaldivar for Understanding analytic irreducibility of homogenous...

This is a basic concept: $h_F$ is the homogenization of $F$ and for the corresponding projective plane curve $X=V(h_F)\subseteq{\mathbb P}^2$, for the local ring of $X$ at the point $P=[0,1,1]$, the...

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Understanding analytic irreducibility of homogenous polynomial

I am currently reading a book titled "Numerical semigroups", which can be found here. I have a question regarding a definition provided by the author. To begin, let's define $F=y^n+a_1(x)y^{n-1}+\cdots...

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