Quantitative Riemann existence theorem over a number field

Quantitative Riemann existence theorem over a number field

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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Veröffentlicht in:Acta Arithmetica 2010, Vol.145 (4), p.319-339
Hauptverfasser: Bilu, Yuri F., Strambi, Marco
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Mathematics
Number Theory
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Zusammenfassung: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.
ISSN:0065-1036
1730-6264
DOI:10.4064/aa145-4-2