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arXiv · 1612.07042

Some facts about discriminants

Vladimir Petrov Kostov
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Abstract

For the family of polynomials in one variable $P:=x^n+a_1x^{n-1}+\cdots +a_n$ we ask the questions at which points its discriminant set can be considered as the graph of a function of all coefficients $a_j$ but one and how its subset of points, where the discriminant set is not smooth, projects on the different coordinate hyperplanes in the space of the coefficients~$a$.

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Vladimir Petrov Kostov. 2016-12-21. Some facts about discriminants. https://arxiv.org/abs/1612.07042

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