English

Systems of equations with a single solution

Combinatorics 2018-02-02 v2

Abstract

We classify general systems of polynomial equations with a single solution, or, equivalently, collections of lattice polytopes of minimal positive mixed volume. As a byproduct, this classification provides an algorithm to evaluate the single solution of such a system.

Keywords

Cite

@article{arxiv.1211.6763,
  title  = {Systems of equations with a single solution},
  author = {Alexander Esterov and Gleb Gusev},
  journal= {arXiv preprint arXiv:1211.6763},
  year   = {2018}
}

Comments

16 pages, 3 figures

R2 v1 2026-06-21T22:45:48.690Z