{"title":"An atlas of K3 surfaces with finite automorphism group","authors":"X. Roulleau","doi":"10.46298/epiga.2022.6286","DOIUrl":null,"url":null,"abstract":"We study the geometry of the K3 surfaces $X$ with a finite number\nautomorphisms and Picard number $\\geq 3$. We describe these surfaces classified\nby Nikulin and Vinberg as double covers of simpler surfaces or embedded in a\nprojective space. We study moreover the configurations of their finite set of\n$(-2)$-curves.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2022.6286","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 13
Abstract
We study the geometry of the K3 surfaces $X$ with a finite number
automorphisms and Picard number $\geq 3$. We describe these surfaces classified
by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a
projective space. We study moreover the configurations of their finite set of
$(-2)$-curves.
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
