English

Reducibility of rational functions in several variables

Number Theory 2007-05-23 v3 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0510434,
  title  = {Reducibility of rational functions in several variables},
  author = {Arnaud Bodin},
  journal= {arXiv preprint arXiv:math/0510434},
  year   = {2007}
}

Comments

14 pages, final version

R2 v1 2026-07-22T17:26:10.502Z