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Article: P-alcoves and nonemptiness of affine deligne-lusztig varieties
Title | P-alcoves and nonemptiness of affine deligne-lusztig varieties |
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Authors | |
Issue Date | 2015 |
Citation | Annales Scientifiques de l'Ecole Normale Superieure, 2015, v. 48, n. 3, p. 647-665 How to Cite? |
Abstract | We study affine Deligne-Lusztig varieties in the affine ßag 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. |
Persistent Identifier | http://hdl.handle.net/10722/329380 |
ISSN | 2023 Impact Factor: 1.3 2023 SCImago Journal Rankings: 2.419 |
DC Field | Value | Language |
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dc.contributor.author | Görtz, Ulrich | - |
dc.contributor.author | He, Xuhua | - |
dc.contributor.author | Nie, Sian | - |
dc.date.accessioned | 2023-08-09T03:32:22Z | - |
dc.date.available | 2023-08-09T03:32:22Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Annales Scientifiques de l'Ecole Normale Superieure, 2015, v. 48, n. 3, p. 647-665 | - |
dc.identifier.issn | 0012-9593 | - |
dc.identifier.uri | http://hdl.handle.net/10722/329380 | - |
dc.description.abstract | We study affine Deligne-Lusztig varieties in the affine ßag 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. | - |
dc.language | eng | - |
dc.relation.ispartof | Annales Scientifiques de l'Ecole Normale Superieure | - |
dc.title | P-alcoves and nonemptiness of affine deligne-lusztig varieties | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.24033/asens.2254 | - |
dc.identifier.scopus | eid_2-s2.0-84943237033 | - |
dc.identifier.volume | 48 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 647 | - |
dc.identifier.epage | 665 | - |