Reducibility of rational functions in several variables

2005/10/20 by Arnaud Bodin, Bodin, Arnaud
Computer Science · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.math/0510434

openalex publication_date 2005/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a analogous of Stein theorem for rational functions in several variables: we bound the number of reducible fibers by a formula depending on the degree of the fraction.

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