EKOR STRATA FOR SHIMURA VARIETIES WITH PARAHORIC LEVEL STRUCTURE

doi:10.1215/00127094-2021-0047

	EKOR STRATA FOR SHIMURA VARIETIES WITH PARAHORIC LEVEL STRUCTURE
	Shen, Xu 1; Yu, Chia-Fu 3,4; Zhang, Chao 2
刊名	DUKE MATHEMATICAL JOURNAL
	2021-10-01
卷号	170 期号:14 页码:3110-3235
ISSN号	0012-7094
DOI	10.1215/00127094-2021-0047
英文摘要	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.
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
语种	英语
出版者	DUKE UNIV PRESS
WOS记录号	WOS:000702972400003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59317]
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.Southeast Univ, Shing Tung Yau Ctr, Nanjing, Peoples R China 3.Natl Ctr Theoret Sci, Taipei, Taiwan 4.Acad Sinica, Inst Math, Taipei, Taiwan
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.