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Article: Stabilizers of irreducible components of affine Deligne-Lusztig varieties
| Title | Stabilizers of irreducible components of affine Deligne-Lusztig varieties |
|---|---|
| Authors | |
| Issue Date | 24-Jan-2024 |
| Publisher | EMS Press |
| Citation | Journal of the European Mathematical Society, 2024, p. 1-55 How to Cite? |
| Abstract | We study the Jb(F)-action on the set of top-dimensional irreducible components of affine Deligne–Lusztig varieties in the affine Grassmannian. We show that the stabilizer of any such component is a parahoric subgroup of Jb(F) of maximal volume, verifying a conjecture of X. Zhu. As an application, we give a description of the set of top-dimensional irreducible components in the basic locus of Shimura varieties. |
| Persistent Identifier | http://hdl.handle.net/10722/337360 |
| ISSN | 2023 Impact Factor: 2.5 2023 SCImago Journal Rankings: 3.251 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | He, Xuhua | - |
| dc.contributor.author | Zhou, Rong | - |
| dc.contributor.author | Zhu, Yihang | - |
| dc.date.accessioned | 2024-03-11T10:20:17Z | - |
| dc.date.available | 2024-03-11T10:20:17Z | - |
| dc.date.issued | 2024-01-24 | - |
| dc.identifier.citation | Journal of the European Mathematical Society, 2024, p. 1-55 | - |
| dc.identifier.issn | 1435-9855 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/337360 | - |
| dc.description.abstract | <p>We study the Jb(F)-action on the set of top-dimensional irreducible components of affine Deligne–Lusztig varieties in the affine Grassmannian. We show that the stabilizer of any such component is a parahoric subgroup of Jb(F) of maximal volume, verifying a conjecture of X. Zhu. As an application, we give a description of the set of top-dimensional irreducible components in the basic locus of Shimura varieties.<br></p> | - |
| dc.language | eng | - |
| dc.publisher | EMS Press | - |
| dc.relation.ispartof | Journal of the European Mathematical Society | - |
| dc.title | Stabilizers of irreducible components of affine Deligne-Lusztig varieties | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.4171/JEMS/1414 | - |
| dc.identifier.spage | 1 | - |
| dc.identifier.epage | 55 | - |
| dc.identifier.eissn | 1435-9863 | - |
| dc.identifier.issnl | 1435-9855 | - |