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math.DS2024
The geometry of preperiodic points in families of maps on
Laura DeMarco, Niki Myrto Mavraki
We study the dynamics of algebraic families of maps on , over the field of complex numbers, and the geometry of their preperiodic points. The goal of thi…
math.DS2024
Bounded geometry for PCF-special subvarieties
Laura DeMarco, Niki Myrto Mavraki, Hexi Ye
For each integer , let denote the moduli space of maps of degree . We study the geometric configurations of subsets of postcriti…