{"title":"The Picard group of the universal moduli stack of principal bundles on pointed smooth curves","authors":"Roberto Fringuelli, Filippo Viviani","doi":"10.1112/topo.12257","DOIUrl":null,"url":null,"abstract":"<p>For any smooth connected linear algebraic group <math>\n <semantics>\n <mi>G</mi>\n <annotation>$G$</annotation>\n </semantics></math> over an algebraically closed field <math>\n <semantics>\n <mi>k</mi>\n <annotation>$k$</annotation>\n </semantics></math>, we describe the Picard group of the universal moduli stack of principal <math>\n <semantics>\n <mi>G</mi>\n <annotation>$G$</annotation>\n </semantics></math>-bundles over pointed smooth <math>\n <semantics>\n <mi>k</mi>\n <annotation>$k$</annotation>\n </semantics></math>-projective curves.</p>","PeriodicalId":56114,"journal":{"name":"Journal of Topology","volume":"15 4","pages":"2065-2142"},"PeriodicalIF":0.8000,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Topology","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/topo.12257","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4
Abstract
For any smooth connected linear algebraic group over an algebraically closed field , we describe the Picard group of the universal moduli stack of principal -bundles over pointed smooth -projective curves.
期刊介绍：
The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal.
The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.
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