P-ALCOVES AND NONEMPTINESS OF AFFINE DELIGNE-LUSZTIG VARIETIES

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	P-ALCOVES AND NONEMPTINESS OF AFFINE DELIGNE-LUSZTIG VARIETIES
	Goertz, Ulrich 1; He, Xuhua 2,3; Nie, Sian4
	2015-05-01
发表期刊	ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
ISSN	0012-9593
卷号	48 期号:3 页码:647-665
摘要	We study affine Deligne-Lusztig varieties in the affine flag manifold of an algebraic group, and in particular the question, which affine Deligne-Lusztig varieties are non-empty. Under mild assumptions on the group, we provide a complete answer to this question in terms of the underlying affine root system. In particular, this proves the corresponding conjecture for split groups stated in [3]. The question of non-emptiness of affine Deligne-Lusztig varieties is closely related to the relationship between certain natural stratifications of moduli spaces of abelian varieties in positive characteristic.
语种	英语
资助项目	Deutsche Forschungsgemeinschaft[Sonderforschungsbereich TR 45] ; HKRGC grant[602011]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000363439200005
出版者	SOC MATHEMATIQUE FRANCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21033
专题	数学所
通讯作者	Goertz, Ulrich
作者单位	1.Univ Duisburg Essen, Inst Expt Math, D-45117 Essen, Germany 2.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China 3.Univ Maryland, Dept Math, College Pk, MD 20742 USA 4.Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Goertz, Ulrich,He, Xuhua,Nie, Sian. P-ALCOVES AND NONEMPTINESS OF AFFINE DELIGNE-LUSZTIG VARIETIES[J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE,2015,48(3):647-665.
APA	Goertz, Ulrich,He, Xuhua,&Nie, Sian.(2015).P-ALCOVES AND NONEMPTINESS OF AFFINE DELIGNE-LUSZTIG VARIETIES.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE,48(3),647-665.
MLA	Goertz, Ulrich,et al."P-ALCOVES AND NONEMPTINESS OF AFFINE DELIGNE-LUSZTIG VARIETIES".ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 48.3(2015):647-665.