2023/07/04 by Hanwen Liu, Liu, Hanwen
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2307.01607
openalex publication_date 2023/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given an uncountable algebraically closed field K, we proved that if partially defined function f\colon K × … × K \dashrightarrow K defined on a Zariski open subset of the n-fold Cartesian product K × … × K is rational in each coordinate whilst other coordinates are held constant, then f is itself a rational function in n-variables.