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arXiv · 1210.4697

A computational approach to the discriminant of homogeneous polynomials

Laurent Busé·Jean-Pierre Jouanolou
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Abstract

In this paper, the discriminant of homogeneous polynomials is studied in two particular cases: a single homogeneous polynomial and a collection of n-1 homogeneous polynomials in n variables. In these two cases, the discriminant is defined over a large class of coefficient rings by means of the resultant. Many formal properties and computational rules are provided and the geometric interpretation of the discriminant is investigated over a general coefficient ring, typically a domain.

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Laurent Busé, Jean-Pierre Jouanolou. 2012-10-17. A computational approach to the discriminant of homogeneous polynomials. https://arxiv.org/abs/1210.4697

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