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Cubic post-critically finite polynomials defined over ℚ

Cubic post-critically finite polynomials defined over ℚ

We find all post-critically finite (PCF) cubic polynomials defined over ‫,ޑ‬ up to conjugacy over PGL 2 ‫.)ޑ(‬We describe normal forms that classify equivalence classes of cubic polynomials while respecting the field of definition.Applying known bounds on the coefficients of post-critically bounded polynomials to these normal forms simultaneously at all …