{"title":"A note on the existence of Tango curves","authors":"Yuichiro Hoshi","doi":"10.2996/KMJ44105","DOIUrl":null,"url":null,"abstract":"In the present paper, we prove that, for an odd prime number $p$ and a positive integer $g$ such that $g-1$ is divisible by $p$, there exists a Tango curve of genus $g$ in characteristic $p$.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kodai Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2996/KMJ44105","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
In the present paper, we prove that, for an odd prime number $p$ and a positive integer $g$ such that $g-1$ is divisible by $p$, there exists a Tango curve of genus $g$ in characteristic $p$.
期刊介绍:
Kodai Mathematical Journal is edited by the Department of Mathematics, Tokyo Institute of Technology. The journal was issued from 1949 until 1977 as Kodai Mathematical Seminar Reports, and was renewed in 1978 under the present name. The journal is published three times yearly and includes original papers in mathematics.