Quantitative Riemann existence theorem over a number field

Details Quantitative Riemann existence theorem over a number field Quantitative Riemann existence theorem over a number field

2008-09-02

arxiv.org/abs/0809.0345v4

Mathematics

Number Theory

23 pages, version 4, minor changes

Scientific paper

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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