2 papers
math.NT2012
A census of quadratic post-critically finite rational maps defined over Q
David Lukas, Michelle Manes, Diane Yap
We find all quadratic post-critically finite (PCF) rational maps defined over the rationals. We describe an algorithm to search for possibly PCF maps. Using the algorithm, we elimi…
math.DS2012
Potential good reduction of degree 2 rational maps
Diane Yap
We give a complete characterization of degree two rational maps with potential good reduction over local fields. We show this happens exactly when the map corresponds to an integra…