{"title":"On the maximality of hyperelliptic Howe curves of genus 3","authors":"R. Ohashi","doi":"10.2996/kmj45206","DOIUrl":null,"url":null,"abstract":"In this paper, we study a Howe curve C in positive characteristic p ≥ 3 which is of genus 3 and is hyperelliptic. We will show that if C is superspecial, then its standard form is maximal or minimal over Fp2 without taking its Fp2 -form.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2021-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kodai Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2996/kmj45206","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: 2
Abstract
In this paper, we study a Howe curve C in positive characteristic p ≥ 3 which is of genus 3 and is hyperelliptic. We will show that if C is superspecial, then its standard form is maximal or minimal over Fp2 without taking its Fp2 -form.
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.
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