Toric Varieties and the Implementation of the Bèzout Resultant Block Matrix
نویسنده
چکیده
The construction of the Bézout matrix in the hybrid resultant formulation involves theories from algebraic geometry. The underlying theory on toric varieties has very nice properties such as the properties of fan (or cones), homogeneous coordinate ring, normality, and Zariski closure are related to the structure of the lattice polytopes in R. This paper presents the application of these properties in the construction and implementation of the Bézout resultant block matrix for unmixed bivariate polynomial systems. The construction reveals a complete combinatorial description for computing the entries of the matrix.
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تاریخ انتشار 2014