Holly Krieger

activity

20082024

most citedThe Dynamical Andre-Oort Conjecture: Unicritical Polynomials

18 citations · 32 across the 10 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021

A dynamical Shafarevich theorem for endomorphisms of $P^{N}$

Jamie Juul, Holly Krieger, Nicole Looper +1

We prove a dynamical analogue of the Shafarevich conjecture for morphisms $f : P_{K}^{N} \to P_{K}^{N}$ of degree $d \geq 2$ , defined over a number field $K$ . This extends previ…

math.DS2021★ 1 cited

Birational maps with transcendental dynamical degree

Jason Bell, Jeffrey Diller, Mattias Jonsson +1

We give examples of birational selfmaps of $P^{d}, d \geq 3$ , whose dynamical degree is a transcendental number. This contradicts a conjecture by Bellon and Viallet. The pro…

A dynamical Shafarevich theorem for endomorphisms of PN

Birational maps with transcendental dynamical degree

A dynamical Shafarevich theorem for endomorphisms of $P^{N}$