Sparse Nullstellensatz, resultants and determinants of complexes
arXiv:2407.13450
Abstract
We refine and extend a result by Tuitman on the supports of a Bezout identity satisfied by a finite sequence of sparse Laurent polynomials without common zeroes in the toric variety associated to their supports. When the number of these polynomials is one more than the dimension of the ambient space, we obtain a formula for computing the sparse resultant as the determinant of a Koszul type complex.
23 pages, latex document. Revised version accepted for publication at International Mathematics Research Notices