{"title":"Elliptic curves on the general hypersurface of degree 7 of ℙ4","authors":"Giorgio Ferrarese , Daniela Romagnoli","doi":"10.1016/S1385-7258(88)80005-2","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we prove that, if <em>C</em> is an elliptic curve of degree <em>d</em> on a general hypersurface <em>V</em> of degree 7 of ℙ<sup>4</sup>, then <em>d</em> is a multiple of 7.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 3","pages":"Pages 249-252"},"PeriodicalIF":0.0000,"publicationDate":"1988-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80005-2","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1385725888800052","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper we prove that, if C is an elliptic curve of degree d on a general hypersurface V of degree 7 of ℙ4, then d is a multiple of 7.
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