2024/01/17 by Konrad Schmüdgen, Schmüdgen, Konrad
Computer Science · Mathematics · #12 D 15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical and Theoretical Analysis #Polynomial and algebraic computation #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2401.09373
openalex publication_date 2024/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A variant of the Archimedean Positivstellensatz is proved which is based on Archimedean semirings or quadratic modules of generating subalgebras. It allows one to obtain representations of strictly positive polynomials on compact semi-algebraic by means of smaller sets of squares or polynomials. A large number of examples is developed in detail.