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arXiv · 0809.0345

Quantitative Riemann existence theorem over a number field

Yuri F. Bilu·Marco Strambi
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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.

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Yuri F. Bilu, Marco Strambi. 2009-08-02. Quantitative Riemann existence theorem over a number field. https://arxiv.org/abs/0809.0345

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