{"title":"ON HOLOMORPHIC TRANSFORMATIONS OF A QUADRIC","authors":"V. Beloshapka","doi":"10.1070/SM1992V072N01ABEH001267","DOIUrl":null,"url":null,"abstract":"Holomorphic transformations of a quadric of arbitrary codimension are studied. General formulas are derived for infinitesimal automorphisms of such a surface. The phenomenon of \"rigidity\" of quadrics in general position is demonstrated. Examples of quadrics with rich automorphism groups are considered. A classification is given for positive-definite quadrics of codimension two.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"39","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V072N01ABEH001267","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 39
Abstract
Holomorphic transformations of a quadric of arbitrary codimension are studied. General formulas are derived for infinitesimal automorphisms of such a surface. The phenomenon of "rigidity" of quadrics in general position is demonstrated. Examples of quadrics with rich automorphism groups are considered. A classification is given for positive-definite quadrics of codimension two.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
