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arXiv · 1310.6617

A Poisson formula for the sparse resultant

Carlos D'Andrea·Martin Sombra
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Abstract

We present a Poisson formula for sparse resultants and a formula for the product of the roots of a family of Laurent polynomials, which are valid for arbitrary families of supports. To obtain these formulae, we show that the sparse resultant associated to a family of supports can be identified with the resultant of a suitable multiprojective toric cycle in the sense of Remond. This connection allows to study sparse resultants using multiprojective elimination theory and intersection theory of toric varieties.

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Carlos D'Andrea, Martin Sombra. 2014-12-17. A Poisson formula for the sparse resultant. https://doi.org/10.1112/plms%2Fpdu069

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