English

Fewnomial bounds for completely mixed polynomial systems

Algebraic Geometry 2009-05-29 v1

Abstract

We give a bound for the number of real solutions to systems of n polynomials in n variables, where the monomials appearing in different polynomials are distinct. This bound is smaller than the fewnomial bound if this structure of the polynomials is not taken into account.

Keywords

Cite

@article{arxiv.0905.4543,
  title  = {Fewnomial bounds for completely mixed polynomial systems},
  author = {Frederic Bihan and Frank Sottile},
  journal= {arXiv preprint arXiv:0905.4543},
  year   = {2009}
}

Comments

15 pages

R2 v1 2026-06-21T13:06:55.168Z