Quantitative Riemann existence theorem over a number field
Number Theory
2009-08-02 v4 Algebraic Geometry
Abstract
Given a covering of the projective line with ramifications defined over a number field, we define a plain model of the algebraic curve realizing the Riemann existence theorem for this covering, and bound explicitly the defining equation of this curve and its definition field.
Cite
@article{arxiv.0809.0345,
title = {Quantitative Riemann existence theorem over a number field},
author = {Yuri F. Bilu and Marco Strambi},
journal= {arXiv preprint arXiv:0809.0345},
year = {2009}
}
Comments
23 pages, version 4, minor changes