2020/05/09 by Maria Alberich‐Carramiñana, Alberich-Carramiñana, Maria, Alberto F. Boix +9
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2005.04406
openalex publication_date 2020/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let ν be a valuation of arbitrary rank on the polynomial ring K[x] with coefficients in a field K. We prove comparison theorems between MacLane-Vaquié key polynomials for valuations μ≤ν and abstract key polynomials for ν. Also, some results on invariants attached to limit key polynomials are obtained. In particular, if char(K)=0 we show that all limit key polynomials of unbounded continuous MacLane chains have numerical character equal to one.