典范高度与单项映射：关于具有稠密轨道的点的有效下界
数论
2019-01-15 v2 代数几何
动力系统
摘要
对于由具有实 Jordan 型的矩阵所诱导的自同态情形，我们证明了 Silverman [15] 在单项映射上定义的典范高度，对于具有 Zariski 稠密轨道的点的高度存在有效下界。
引用
@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}
}
备注
Key expressions: Canonical Heights, Dynamical Degree, Multiplicative groups, Preperiodic points, Effective Lower Bounds, Baker's Theorem