Multivariate Subresultants in Roots
Carlos D'Andrea, Teresa Krick, Agnes Szanto
Abstract
We give rational expressions for the subresultants of n+1 generic polynomials f1,..., fn+1 in n variables as a function of the coordinates of the common roots of f1,..., fn and their evaluation in fn+1. We present a simple technique to prove our results, giving new proofs and generalizing the classical Poisson product formula for the projective resultant, as well as the expressions of Hong for univariate subresultants in roots.
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