Canonical Heights and Monomial Maps: On Effective Lower Bounds for Points with Dense Orbit
Number Theory
2019-01-15 v2 Algebraic Geometry
Dynamical Systems
Abstract
We prove, for the canonical height defined by Silverman [15] on monomial maps, the existence of effective lower bounds for heights of points with Zariski dense orbit, for cases with endomorphisms induced by matrices with real Jordan form.
Cite
@article{arxiv.1708.00951,
title = {Canonical Heights and Monomial Maps: On Effective Lower Bounds for Points with Dense Orbit},
author = {Jorge Mello},
journal= {arXiv preprint arXiv:1708.00951},
year = {2019}
}
Comments
Key expressions: Canonical Heights, Dynamical Degree, Multiplicative groups, Preperiodic points, Effective Lower Bounds, Baker's Theorem