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Macaulay Style Formulas for Sparse Resultants

2001/07/31 by Carlos D'Andrea
Mathematics · #math.AG #msc:14Q99 #msc:68W30

paper · pdf

published as Trans. Amer. Math. Soc. 354 (2002), no. 7, 2595--2629 · 43 pages, revised version accepted for publication in Transactions of the AMS

arxiv created 2001/08/22 · arxiv updated 2009/11/30

Abstract

We present formulas for computing the resultant of sparse polynomials as a quotient of two determinants, the denominator being a minor of the numerator. These formulas extend the original formulation given by Macaulay for homogeneous polynomials.

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