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arXiv · 1211.2462

Non-degeneracy of the discriminant

Evelia R. García Barroso·Janusz Gwozdziewicz·Andrzej Lenarcik
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Abstract

Let $(l,f):(C^2,0)\rightarrow (C^2,0)$ be the germ of a holomorphic mapping such that $l=0$ is a smooth curve which is not a branch of the singular curve $f=0$. The direct image of the critical locus of this mapping is called the discriminant curve. In this paper we study the pairs $(l,f)$ for which the discriminant curve is non-degenerate in the Kouchnirenko sense.

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Evelia R. García Barroso, Janusz Gwozdziewicz, Andrzej Lenarcik. 2013-05-10. Non-degeneracy of the discriminant. https://doi.org/10.1007/s10474-015-0515-8

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