%0 Journal Article %T Quantitative Riemann existence theorem over a number field %A Yuri F. Bilu %A Marco Strambi %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0809.0345v4