EKOR STRATA FOR SHIMURA VARIETIES WITH PARAHORIC LEVEL STRUCTURE

doi:10.1215/00127094-2021-0047

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	EKOR STRATA FOR SHIMURA VARIETIES WITH PARAHORIC LEVEL STRUCTURE
	Shen, Xu 1; Yu, Chia-Fu 2,3; Zhang, Chao 4
	2021-10-01
发表期刊	DUKE MATHEMATICAL JOURNAL
ISSN	0012-7094
卷号	170 期号:14 页码:3110-3235
摘要	We study the geometry of reduction modulo p of the Kisin-Pappas integral models for certain Shimura varieties of abelian type with parahoric level structure. We give some direct and geometric constructions for the EKOR (Ekedahl-Kottwitz-Oort-Rapoport) strata on these Shimura varieties, using the theories of G-zips and mixed characteristic local G-Shtukas. We establish several basic properties of these strata, including the smoothness, dimension formula, and closure relation. Moreover, we apply our results to the study of Newton strata and central leaves on these Shimura varieties.
DOI	10.1215/00127094-2021-0047
收录类别	SCI
语种	英语
资助项目	Chinese Academy of Sciences[50Y64198900] ; Chinese Academy of Sciences[29Y64200900] ; Recruitment Program of Global Experts of China ; National Science Foundation of China[11631009] ; National Science Foundation of China[11688101] ; Ministry of Science and Technology[107-2115-M-001-001-MY2] ; Ministry of Science and Technology[109-2115-M-001-002-MY3]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000702972400003
出版者	DUKE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59318
专题	中国科学院数学与系统科学研究院
通讯作者	Shen, Xu
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing, Peoples R China 2.Acad Sinica, Inst Math, Taipei, Taiwan 3.Natl Ctr Theoret Sci, Taipei, Taiwan 4.Southeast Univ, Shing Tung Yau Ctr, Nanjing, Peoples R China
推荐引用方式 GB/T 7714	Shen, Xu,Yu, Chia-Fu,Zhang, Chao. EKOR STRATA FOR SHIMURA VARIETIES WITH PARAHORIC LEVEL STRUCTURE[J]. DUKE MATHEMATICAL JOURNAL,2021,170(14):3110-3235.
APA	Shen, Xu,Yu, Chia-Fu,&Zhang, Chao.(2021).EKOR STRATA FOR SHIMURA VARIETIES WITH PARAHORIC LEVEL STRUCTURE.DUKE MATHEMATICAL JOURNAL,170(14),3110-3235.
MLA	Shen, Xu,et al."EKOR STRATA FOR SHIMURA VARIETIES WITH PARAHORIC LEVEL STRUCTURE".DUKE MATHEMATICAL JOURNAL 170.14(2021):3110-3235.