{"title":"仿射delign - lusztig品种的不可约成分","authors":"S. Nie","doi":"10.4310/cjm.2022.v10.n2.a2","DOIUrl":null,"url":null,"abstract":"By extending the method of semi-modules developed by de Jong,Oort, Viehmann and Hamacher, we introduce a stratification for the affine Deligne-Lusztig variety (in the affine Grassmannian) attached to a basic element. As an application, we verify a conjecture, due to M. Chen and X. Zhu, on the irreducible components of the affine Deligne-Lusztig variety attached to a sum of dominant minuscule coweights.","PeriodicalId":48573,"journal":{"name":"Cambridge Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Irreducible components of affine Deligne–Lusztig varieties\",\"authors\":\"S. Nie\",\"doi\":\"10.4310/cjm.2022.v10.n2.a2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By extending the method of semi-modules developed by de Jong,Oort, Viehmann and Hamacher, we introduce a stratification for the affine Deligne-Lusztig variety (in the affine Grassmannian) attached to a basic element. As an application, we verify a conjecture, due to M. Chen and X. Zhu, on the irreducible components of the affine Deligne-Lusztig variety attached to a sum of dominant minuscule coweights.\",\"PeriodicalId\":48573,\"journal\":{\"name\":\"Cambridge Journal of Mathematics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2018-09-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cambridge Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/cjm.2022.v10.n2.a2\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cambridge Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/cjm.2022.v10.n2.a2","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Irreducible components of affine Deligne–Lusztig varieties
By extending the method of semi-modules developed by de Jong,Oort, Viehmann and Hamacher, we introduce a stratification for the affine Deligne-Lusztig variety (in the affine Grassmannian) attached to a basic element. As an application, we verify a conjecture, due to M. Chen and X. Zhu, on the irreducible components of the affine Deligne-Lusztig variety attached to a sum of dominant minuscule coweights.
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