S. Troncoso

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math.NT2017

Scarcity of finite orbits for rational functions over a number field

J. K. Canci, Sebastian Troncoso, Solomon Vishkautsan

Let $ϕ$ be a an endomorphism of degree $d \geq 2$ of the projective line, defined over a number field $K$ . Let $S$ be a finite set of places of $K$ , including the archimedean place…

math.NT2016

Bound for preperiodic points for maps with good reduction

Sebastian Troncoso

Let $K$ be a number field and let $ϕ$ in $K (z)$ be a rational function of degree $d \geq 2$ . Let $S$ be the places of bad reduction for $ϕ$ (including the archimedan places). Let $P…