Resultant of an equivariant polynomial system with respect to the   symmetric group
  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. 
Laurent Bus\'e (INRIA Sophia Antipolis), Anna Karasoulou (Athens)
math.AC cs.SC