仿射空间中态射的周期前点和有界空间和高度的周期前点

Pub Date : 2020-09-02 DOI:10.7169/facm/2022

J. Mello

{"title":"仿射空间中态射的周期前点和有界空间和高度的周期前点","authors":"J. Mello","doi":"10.7169/facm/2022","DOIUrl":null,"url":null,"abstract":"Under special conditions, we prove that the set of preperiodic points for semigroups of self-morphisms of affine spaces falling on cyclotomic closures is not dense. generalising results of Ostafe and Young (2020). We also extend previous results about boundness of house and height on certain preperiodicity sets of higher dimension in semigroup dynamics.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cyclotomic preperiodic points for morphismsin affine spaces and preperiodic points with bounded house and height\",\"authors\":\"J. Mello\",\"doi\":\"10.7169/facm/2022\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Under special conditions, we prove that the set of preperiodic points for semigroups of self-morphisms of affine spaces falling on cyclotomic closures is not dense. generalising results of Ostafe and Young (2020). We also extend previous results about boundness of house and height on certain preperiodicity sets of higher dimension in semigroup dynamics.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7169/facm/2022\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7169/facm/2022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在特殊条件下，我们证明了落在分圆闭包上的仿射空间的自同态半群的前周期点集是不稠密的。Ostafe和Young（2020）的概括结果。我们还推广了先前关于半群动力学中某些高维先验集上房屋和高度的有界性的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

Cyclotomic preperiodic points for morphismsin affine spaces and preperiodic points with bounded house and height

Under special conditions, we prove that the set of preperiodic points for semigroups of self-morphisms of affine spaces falling on cyclotomic closures is not dense. generalising results of Ostafe and Young (2020). We also extend previous results about boundness of house and height on certain preperiodicity sets of higher dimension in semigroup dynamics.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助