| P-ALCOVES AND NONEMPTINESS OF AFFINE DELIGNE-LUSZTIG VARIETIES | |
Goertz, Ulrich1; He, Xuhua2,3; Nie, Sian4
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| 2015-05-01 | |
| Source Publication | ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
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| ISSN | 0012-9593 |
| Volume | 48Issue:3Pages:647-665 |
| Abstract | 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. |
| Language | 英语 |
| Funding Project | Deutsche Forschungsgemeinschaft[Sonderforschungsbereich TR 45] ; HKRGC grant[602011] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000363439200005 |
| Publisher | SOC MATHEMATIQUE FRANCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/21033 |
| Collection | 数学所 |
| Corresponding Author | Goertz, Ulrich |
| Affiliation | 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 |
| Recommended Citation 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. |
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