{"title":"Groups Acting on Moduli Spaces of Hyper-Kähler Manifolds","authors":"Francesca Rizzo","doi":"10.1007/s00032-024-00396-7","DOIUrl":null,"url":null,"abstract":"<p>The period morphism of polarized hyper-Kähler manifolds of K3<span>\\(^{[m]}\\)</span>-type gives an embedding of each connected component of the moduli space of polarized hyper-Kähler manifolds of K3<span>\\(^{[m]}\\)</span>-type into their period space, which is the quotient of a Hermitian symmetric domain by an arithmetic group. Following work of Stellari and Gritsenko-Hulek-Sankaran, we study the ramification of covering maps between these period spaces that arise from the action of some groups of isometries.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"172 1","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Milan Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00032-024-00396-7","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The period morphism of polarized hyper-Kähler manifolds of K3\(^{[m]}\)-type gives an embedding of each connected component of the moduli space of polarized hyper-Kähler manifolds of K3\(^{[m]}\)-type into their period space, which is the quotient of a Hermitian symmetric domain by an arithmetic group. Following work of Stellari and Gritsenko-Hulek-Sankaran, we study the ramification of covering maps between these period spaces that arise from the action of some groups of isometries.
期刊介绍：
Milan Journal of Mathematics (MJM) publishes high quality articles from all areas of Mathematics and the Mathematical Sciences. The authors are invited to submit "articles with background", presenting a problem of current research with its history and its developments, the current state and possible future directions. The presentation should render the article of interest to a wider audience than just specialists.
Many of the articles will be "invited contributions" from speakers in the "Seminario Matematico e Fisico di Milano". However, also other authors are welcome to submit articles which are in line with the "Aims and Scope" of the journal.
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
