On variation of dynamical canonical heights for semigroups of morphisms

被引：1
|
作者：
Mello, Jorge [1 ]
机构：
[1] Univ New South Wales, Sydney, NSW, Australia
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2020年 / 224卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
D O I：
10.1016/j.jpaa.2019.07.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study families of varieties endowed with dynamical eigensystems of several maps, inducing canonical heights on the dominating variety as well as on the "good" fibers of the family. We show explicitely the dependence on the parameter for global and local canonical heights defined by Kawaguchi when the fibers change, extending previous works of Call and Silverman in dynamical systems formed by just one morphism. Crown Copyright (C) 2019 Published by Elsevier B.V. All rights reserved.
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页码：1195 / 1204
页数：10
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