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Pré-Publication, Document De Travail Année : 2012

A computational approach to the discriminant of homogeneous polynomials

Résumé

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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Dates et versions

hal-00747930 , version 1 (02-11-2012)
hal-00747930 , version 2 (08-07-2014)

Identifiants

  • HAL Id : hal-00747930 , version 1

Citer

Laurent Busé, Jean-Pierre Jouanolou. A computational approach to the discriminant of homogeneous polynomials. 2012. ⟨hal-00747930v1⟩
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