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arXiv · 1407.2799

Resultant of an equivariant polynomial system with respect to the symmetric group

Laurent Busé·Anna Karasoulou
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Abstract

Given a system of n homogeneous polynomials in n variables which is equivariant with respect to the canonical actions of the symmetric group of n symbols on the variables and on the polynomials, it is proved that its resultant can be decomposed into a product of several smaller resultants that are given in terms of some divided differences. As an application, we obtain a decomposition formula for the discriminant of a multivariate homogeneous symmetric polynomial.

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Laurent Busé, Anna Karasoulou. 2014-07-10. Resultant of an equivariant polynomial system with respect to the symmetric group. https://arxiv.org/abs/1407.2799

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