{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/topo.12257","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","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.
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