N. Mavraki

activity

20132026

most citedImpossible intersections in a Weierstrass family of elliptic curves

3 citations · 11 across the 14 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.DS2022★ 1 cited

Dynamics on $P^{1}$ : preperiodic points and pairwise stability

Laura DeMarco, Niki Myrto Mavraki

In [DKY], it was conjectured that there is a uniform bound $B$ , depending only on the degree $d$ , so that any pair of holomorphic maps $f, g : P^{1} \to P^{1}$ with degr…

math.NT2022

Height coincidences in products of the projective line

Niki Myrto Mavraki, Harry Schmidt, Robert Wilms

We consider hypersurfaces in $(P^{1})^{n}$ that contain a generic sequence of small dynamical height with respect to a split map and project onto $n - 1$ coordinates. We show th…

math.NT2022

On the dynamical Bogomolov conjecture for families of split rational maps

Niki Myrto Mavraki, Harry Schmidt

We prove that Zhang's dynamical Bogomolov conjecture holds uniformly along $1$ -parameter families of rational split maps and curves. This provides dynamical analogues of recent res…

Dynamics on P1: preperiodic points and pairwise stability

Height coincidences in products of the projective line

On the dynamical Bogomolov conjecture for families of split rational maps

Dynamics on $P^{1}$ : preperiodic points and pairwise stability