A Poisson formula for the sparse resultant

作者:D'Andrea Carlos*; Sombra Martin
来源:Proceedings of the London Mathematical Society, 2015, 110(4): 932-964.
DOI:10.1112/plms/pdu069

摘要

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 R,mond. This connection allows to study sparse resultants using multiprojective elimination theory and intersection theory of toric varieties.

  • 出版日期2015-4