Rectangular Corner Cutting and Dixon A-resultants

Abstract

The classical Dixon resultant for three bi-degree polynomials in two variables is an A-resultant with a rectangular bi-degree monomial support. This paper shows that the determinant of the Dixon coefficient matrix persists as an A-resultant after rectangular corner cutting, that is, the removal of one or more rectangular sub-supports at the corners of the bi-degree support. The proof is constructive and produces intermediate results which are significant in their own right. © 2001 Academic Press.