vix.ing · top · new · best · stats · spec

Fewnomial bounds for completely mixed polynomial systems

2009/05/28 by Frédéric Bihan, Bihan, Frederic, Frank Sottile +1
Computer Science · Mathematics · #14P99 #Algebraic Geometry (math.AG) #Coding theory and cryptography #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0905.4543

openalex publication_date 2009/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related