On the Arithmetic Dynamics of Monomial Maps
Dynamical Systems
2017-04-11 v1 Algebraic Geometry
Number Theory
Abstract
We generalized several results for the arithmetic dynamics of monomial maps, including Silverman's conjectures on height growth, dynamical Mordell-Lang conjecture, and dynamical Manin-Mumford conjecture. These results are originally known for monomial maps on algebraic tori. We extend the results to arbitrary toric varieties.
Cite
@article{arxiv.1704.02661,
title = {On the Arithmetic Dynamics of Monomial Maps},
author = {Jan-Li Lin},
journal= {arXiv preprint arXiv:1704.02661},
year = {2017}
}