On a tropical dual Nullstellensatz
Commutative Algebra
2011-08-03 v1 Combinatorics
Abstract
Since a tropical Nullstellensatz fails even for tropical univariate polynomials we study a conjecture on a tropical {\it dual} Nullstellensatz for tropical polynomial systems in terms of solvability of a tropical linear system with the Cayley matrix associated to the tropical polynomial system. The conjecture on a tropical effective dual Nullstellensatz is proved for tropical univariate polynomials.
Keywords
Cite
@article{arxiv.1108.0519,
title = {On a tropical dual Nullstellensatz},
author = {Dima Grigoriev},
journal= {arXiv preprint arXiv:1108.0519},
year = {2011}
}