A sparse overview on sparse resultants
Carles Checa Ioannis Z. Emiris Christos Konaxis
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Abstract
In this survey, we give an overview of advances in the theory and computation of sparse resultants. First, we examine the construction and proof of the Canny-Emiris formula, which gives a rational determinantal formula. Second, we discuss and compare the latter with the computation of the sparse resultant as the determinant of the Koszul complex given by $n + 1$ nef divisors in a toric variety. Finally, we cover techniques for computing the Newton polytope of sparse resultants.引用本文复制引用
Carles Checa,Ioannis Z. Emiris,Christos Konaxis.A sparse overview on sparse resultants[EB/OL].(2026-02-16)[2026-02-19].https://arxiv.org/abs/2602.13039.学科分类
数学
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