Explicit formulas for the multivariate resultant

Preprint

6 July 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0007036

Abstract

We present formulas for the homogenous multivariate resultant as a quotient of two determinants. They extend classical Macaulay formulas, and involve matrices of considerably smaller size, whose non zero entries include coefficients of the given polynomials and coefficients of their Bezoutian. These formulas can also be viewed as an explicit computation of the morphisms and the determinant of a resultant complex.

Keywords

HOMOGENOUS MULTIVARIATE
MULTIVARIATE RESULTANT
EXPLICIT FORMULAS
PRESENT FORMULAS
EXTEND CLASSICAL
ZERO ENTRIES
MATRICES

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Version 1, 2000-07-06, ArXiv

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