三函数奇异性的局部理论与积映射

IF 0.5 4区数学 Q3 MATHEMATICS

Hiroshima Mathematical Journal Pub Date : 2022-03-01 DOI:10.32917/h2021020

Kazuto Takao

{"title":"三函数奇异性的局部理论与积映射","authors":"Kazuto Takao","doi":"10.32917/h2021020","DOIUrl":null,"url":null,"abstract":"A bstract . Suppose that a smooth map ð f ; g ; h Þ : R n ! R 3 , where n b 3, has a stable singularity at the origin. We characterize the stability of the function f : R n ! R and the map ð f ; g Þ : R n ! R 2 at the origin in terms of the discriminant set of ð f ; g ; h Þ .","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Local theory of singularities of three functions and the product maps\",\"authors\":\"Kazuto Takao\",\"doi\":\"10.32917/h2021020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A bstract . Suppose that a smooth map ð f ; g ; h Þ : R n ! R 3 , where n b 3, has a stable singularity at the origin. We characterize the stability of the function f : R n ! R and the map ð f ; g Þ : R n ! R 2 at the origin in terms of the discriminant set of ð f ; g ; h Þ .\",\"PeriodicalId\":55054,\"journal\":{\"name\":\"Hiroshima Mathematical Journal\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Hiroshima Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.32917/h2021020\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hiroshima Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.32917/h2021020","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

摘要。假设一个光滑映射；g；hÞ：R n！R3，其中nb3，在原点有一个稳定的奇点。我们刻画了函数f:Rn！R和映射；gÞ：R n！R2在原点的判别集；g；hÞ。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Local theory of singularities of three functions and the product maps

A bstract . Suppose that a smooth map ð f ; g ; h Þ : R n ! R 3 , where n b 3, has a stable singularity at the origin. We characterize the stability of the function f : R n ! R and the map ð f ; g Þ : R n ! R 2 at the origin in terms of the discriminant set of ð f ; g ; h Þ .

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

来源期刊

Hiroshima Mathematical Journal 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970). Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.