{"title":"特征三下属超椭圆曲线的双曲平凡性","authors":"Yuichiro Hoshi","doi":"10.2206/kyushujm.73.317","DOIUrl":null,"url":null,"abstract":"— In the present paper, we discuss the hyperbolic ordinariness of hyperelliptic curves in characteristic three. In particular, we prove that every hyperelliptic projective hyperbolic curve of genus less than or equal to five in characteristic three is hyperbolically ordinary.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"HYPERBOLIC ORDINARINESS OF HYPERELLIPTIC CURVES OF LOWER GENUS IN CHARACTERISTIC THREE\",\"authors\":\"Yuichiro Hoshi\",\"doi\":\"10.2206/kyushujm.73.317\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"— In the present paper, we discuss the hyperbolic ordinariness of hyperelliptic curves in characteristic three. In particular, we prove that every hyperelliptic projective hyperbolic curve of genus less than or equal to five in characteristic three is hyperbolically ordinary.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2206/kyushujm.73.317\",\"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":"100","ListUrlMain":"https://doi.org/10.2206/kyushujm.73.317","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
HYPERBOLIC ORDINARINESS OF HYPERELLIPTIC CURVES OF LOWER GENUS IN CHARACTERISTIC THREE
— In the present paper, we discuss the hyperbolic ordinariness of hyperelliptic curves in characteristic three. In particular, we prove that every hyperelliptic projective hyperbolic curve of genus less than or equal to five in characteristic three is hyperbolically ordinary.