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arxiv: 1703.08563 · v2 · pith:C63BG54Fnew · submitted 2017-03-24 · 🧮 math.NT

Dynamical Belyi maps

classification 🧮 math.NT
keywords mapsdynamicalrationalanswersbelyiclassconservativeconstructing
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We study the dynamical properties of a large class of rational maps with exactly three ramification points. By constructing families of such maps, we obtain infinitely many conservative maps of degree $d$; this answers a question of Silverman. Rather precise results on the reduction of these maps yield strong information on the rational dynamics.

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