Quantitative Riemann existence theorem over a number field
classification
🧮 math.NT
math.AG
keywords
fieldcoveringcurveexistencenumberriemanntheoremalgebraic
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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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