Canonical heights and monomial maps: On effective lower bounds for points with dense orbit

[摘要] We prove, for the canonical height defined by Silverman [10] 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. Crown Copyright (C) 2019 Published by Elsevier Inc. All rights reserved.

[发布日期] 2019-12-01

[关键词] Canonical heights;Dynamical degree;Multiplicative groups;Preperiodic points;Effective lower bounds;Baker's theorem