Resultants of skewly composed polynomials

  • Authors:

  • Manfred Minimair

  • Affiliations:

  • Seton Hall University, South Orange, New Jersey

  • Venue:
  • Proceedings of the 2006 international symposium on Symbolic and algebraic computation
  • Year:
  • 2006

Quantified Score

Hi-index 0.00

Visualization

Abstract

This paper studies resultants of skewly composed polynomials, obtained from n homogeneous polynomials by replacing their variables with n + 1 other homogeneous polynomials, called the inner components. It is shown that the resultant of such composed polynomials is a nested resultant where the inner resultant only depends on the inner components. This work can be considered as a continuation of Jouanolou's and Cheng/McKay/Wang's works on resultants of composed polynomials, who consider non-skewly composed polynomials obtained by composing n homogeneous polynomials with n homogeneous polynomials. Interestingly, in their case the composition structure causes the resultant of composed polynomials to be a power product of resultants, whereas in the current work it is a completely different nested resultant.