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arxiv: 1608.08302 · v1 · pith:2QM5A4RMnew · submitted 2016-08-30 · 🧮 math.NT

Hurwitz-Belyi Maps

classification 🧮 math.NT
keywords mapsexampleshurwitz-belyivarietiesbelyicertaincomputationalconfiguration
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The study of the moduli of covers of the projective line leads to the theory of Hurwitz varieties covering configuration varieties. Certain one-dimensional slices of these coverings are particularly interesting Belyi maps. We present systematic examples of such "Hurwitz-Belyi maps." Our examples illustrate a wide variety of theoretical phenomena and computational techniques.

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