Rational preperiodic points of cubic post-critically finite polynomials

Official URL: https://risc01.sabanciuniv.edu/record=b2583853_(Table of contents)

All cubic post-critically nite polynomials de ned over Q are classi ed up to Q-conjugacy, [3]. There are 15 such classes. For each representative of these classes we nd all rational preperiodic points by using an algorithm of B. Hutz [8]. We nd that the number of rational preperiodic points of a cubic post-critically nite polynomial de ned over Q cannot exceed 6.