Uniform Bounds for Preperiodic Points in Families of Twists

Details Uniform Bounds for Preperiodic Points in Families of Twists Uniform Bounds for Preperiodic Points in Families of Twists

2012-04-19

arxiv.org/abs/1204.4447v1

Mathematics

Number Theory

12 pages, 2 figures

Scientific paper

Let phi be a rational map defined over a number field K. We prove that there
is a bound B depending only on phi such that every twist of phi has no more
than B K-rational preperiodic points. For two specific families of quadratic
rational maps, we find the bound B explicitly.

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