Explicit formulas for the multivariate resultant
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0007036,
title = {Explicit formulas for the multivariate resultant},
author = {Carlos D'Andrea and Alicia Dickenstein},
journal= {arXiv preprint arXiv:math/0007036},
year = {2007}
}
Comments
30 pages, Latex