An Effective Version of Belyi's Theorem
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Lily S. Khadjavi
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Article
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2002
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Elsevier Science
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English
⚖ 216 KB
We compute bounds on covering maps that arise in Belyi's Theorem. In particular, we construct a library of height properties and then apply it to algorithms that produce Belyi maps. Such maps are used to give coverings from algebraic curves to the projective line ramified over at most three points.