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- W3100705394 abstract "Let f(Y)∈K[[X1,…,Xd]][Y ] be a quasi-ordinary Weierstrass polynomial with coefficients in the ring of formal power series over an algebraically closed field of characteristic zero. In this paper, we study the discriminant Df of f(Y)−V , where V is a new variable. We show that the Newton polytope of Df depends only on contacts between the roots of f(Y). Then, we prove that f(Y) is irreducible if and only if the Newton polytope of Df satisfies some arithmetic conditions. Finally, we generalize these results to quasi-ordinary power series." @default.
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- W3100705394 date "2014-07-03" @default.
- W3100705394 modified "2023-10-03" @default.
- W3100705394 title "Quasi-Ordinary Singularities: Tree Model, Discriminant, and Irreducibility" @default.
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- W3100705394 doi "https://doi.org/10.1093/imrn/rnu106" @default.
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