{"title":"A counterexample to a conjecture of complete fan","authors":"Kenta Watanabe","doi":"10.1215/KJM/1250271324","DOIUrl":null,"url":null,"abstract":"If a GriMths domain D is a symmetric Hermitian domain, the toroidal compactification of the quotient space rXD, associated to a projective fan and a discrete subgroup F of Aut(D), was constructed by Mumford et al. Kazuya Kato and Sampei Usui studied extensions of rXD for a GriMths domain D in general, and introduced a notion of \"complete fan\" as a generalization of a notion of projective fan. The existence of complete fans is expected. In this paper, we give an example of D which has no complete fan.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"951-962"},"PeriodicalIF":0.0000,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics of Kyoto University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1215/KJM/1250271324","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 3
Abstract
If a GriMths domain D is a symmetric Hermitian domain, the toroidal compactification of the quotient space rXD, associated to a projective fan and a discrete subgroup F of Aut(D), was constructed by Mumford et al. Kazuya Kato and Sampei Usui studied extensions of rXD for a GriMths domain D in general, and introduced a notion of "complete fan" as a generalization of a notion of projective fan. The existence of complete fans is expected. In this paper, we give an example of D which has no complete fan.
期刊介绍：
Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.
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
