{"title":"On the multicanonical systems of quasi-elliptic surfaces","authors":"Natsuo Saito, Bstract","doi":"10.2969/jmsj/85058505","DOIUrl":null,"url":null,"abstract":"We consider the multicanonical systems |mKS | of quasielliptic surfaces with Kodaira dimension 1 in characteristic 2. We show that for any m ≥ 6 |mKS | gives the structure of quasi-elliptic fiber space, and 6 is the best possible number to give the structure for any such surfaces.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2969/jmsj/85058505","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the multicanonical systems |mKS | of quasielliptic surfaces with Kodaira dimension 1 in characteristic 2. We show that for any m ≥ 6 |mKS | gives the structure of quasi-elliptic fiber space, and 6 is the best possible number to give the structure for any such surfaces.