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arXiv · 2104.08567

Initial Newton polynomial of the discriminant

Beata Gryszka·Janusz Gwoździewicz·Adam Parusiński
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Abstract

Let $(f,g)\colon (\mathbb{C}^2,0)\longrightarrow (\mathbb{C}^2,0)$ be a holomorphic mapping with an isolated zero. We show that the initial Newton polynomial of its discriminant is determined, up to rescalling variables, by the ideals $(f)$ and $(g)$.

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Beata Gryszka, Janusz Gwoździewicz, Adam Parusiński. 2021-04-17. Initial Newton polynomial of the discriminant. https://doi.org/10.1112/blms.12644

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