The Resultant of an Unmixed Bivariate System

Details The Resultant of an Unmixed Bivariate System The Resultant of an Unmixed Bivariate System

2002-09-11

arxiv.org/abs/math/0209115v1

Mathematics

Algebraic Geometry

18 pages, 2 figures

Scientific paper

This paper gives an explicit method for computing the resultant of any sparse
unmixed bivariate system with given support. We construct square matrices whose
determinant is exactly the resultant. The matrices constructed are of hybrid
Sylvester and B\'ezout type. We make use of the exterior algebra techniques of
Eisenbud, Fl{\o}ystad, and Schreyer.

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