English

A Shafarevich-Faltings Theorem For Rational Functions

Number Theory 2007-05-23 v2 Algebraic Geometry

Abstract

Using an alternative notion of good reduction, an analog of the Shafarevich theorem for elliptic curves is proved for morphisms of the projective line over number fields.

Keywords

Cite

@article{arxiv.math/0603436,
  title  = {A Shafarevich-Faltings Theorem For Rational Functions},
  author = {Lucien Szpiro and Thomas J. Tucker},
  journal= {arXiv preprint arXiv:math/0603436},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-07-22T17:33:03.663Z