Some families of polynomials satisfying uniform boundedness for rational preperiodic points

2024/08/08 by Pasten, Hector
#37P15 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #Primary: 37P35 #Secondary: 37P05

paper · doi:10.48550/arxiv.2408.13262

Abstract

We construct explicit non-isotrivial families of polynomials over ℚ satisfying uniform boundedness for their rational preperiodic points.

Related

• Uniform boundedness of rational points and preperiodic points
• Polynomials with many rational preperiodic points
• Distribution of preperiodic points in one-parameter families of rational maps
• On quadratic periodic points of quadratic polynomials
• Uniform unlikely intersections for unicritical polynomials