{"title":"Shtukas的特殊周期已经关闭","authors":"Zhiwei Yun","doi":"10.4310/pamq.2022.v18.n5.a6","DOIUrl":null,"url":null,"abstract":". In this paper we give a different proof of a theorem of Paul Breutmann: for a Bruhat-Tits group scheme H over a smooth projective curve X and a closed embedding into another smooth affine group scheme G , the induced map on the moduli of Shtukas Sht r H → Sht r G is schematic, finite and unramified. This result enables one to define special cycles on the moduli stack of Shtukas.","PeriodicalId":54526,"journal":{"name":"Pure and Applied Mathematics Quarterly","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Special cycles for Shtukas are closed\",\"authors\":\"Zhiwei Yun\",\"doi\":\"10.4310/pamq.2022.v18.n5.a6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper we give a different proof of a theorem of Paul Breutmann: for a Bruhat-Tits group scheme H over a smooth projective curve X and a closed embedding into another smooth affine group scheme G , the induced map on the moduli of Shtukas Sht r H → Sht r G is schematic, finite and unramified. This result enables one to define special cycles on the moduli stack of Shtukas.\",\"PeriodicalId\":54526,\"journal\":{\"name\":\"Pure and Applied Mathematics Quarterly\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-04-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pure and Applied Mathematics Quarterly\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/pamq.2022.v18.n5.a6\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pure and Applied Mathematics Quarterly","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/pamq.2022.v18.n5.a6","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
摘要
在本文中，我们给出了Paul Breutmann定理的不同证明：对于光滑投影曲线X上的Bruhat-Tits群方案H和另一个光滑群方案G中的闭嵌入，Shtukas Sht r H的模上的诱导映射→ Sht r G是示意性的、有限的和不可分割的。这一结果使人们能够在Shtukas的模量堆栈上定义特殊循环。
. In this paper we give a different proof of a theorem of Paul Breutmann: for a Bruhat-Tits group scheme H over a smooth projective curve X and a closed embedding into another smooth affine group scheme G , the induced map on the moduli of Shtukas Sht r H → Sht r G is schematic, finite and unramified. This result enables one to define special cycles on the moduli stack of Shtukas.
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