N. Mavraki

activity

20242026

collaborators

4 papers

math.DS2026

The geometry of preperiodic points in families of maps on $P^{N}$

Laura DeMarco, Niki Myrto Mavraki

We study the dynamics of algebraic families of maps on $P^{N}$ , over the field $C$ of complex numbers, and the geometry of their preperiodic points. The goal of thi…

math.DS2026

Bounded geometry for PCF-special subvarieties

Laura DeMarco, Niki Myrto Mavraki, Hexi Ye

For each integer $d \geq 2$ , let $M_{d}$ denote the moduli space of maps $f : P^{1} \to P^{1}$ of degree $d$ . We study the geometric configurations of subsets of postcriti…

math.NT2025

A quantitative dynamical Zhang fundamental inequality and Bogomolov-type problems

Niki Myrto Mavraki, Jit Wu Yap

We prove a quantitative version of Zhang's fundamental inequality for heights attached to polarizable endomorphisms. As an application, we obtain a gap principle for the NÃ©ron-Tat…

math.DS2024

Geometry of PCF parameters in spaces of quadratic polynomials