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Article: Newton strata in Levi subgroups
| Title | Newton strata in Levi subgroups |
|---|---|
| Authors | |
| Keywords | 11G25 Varieties over finite and local fields 20G25 Linear algebraic groups over local fields and their integers |
| Issue Date | 4-Jun-2024 |
| Publisher | Springer |
| Citation | manuscripta mathematica, 2024, v. 175, n. 1-2, p. 513-519 How to Cite? |
| Abstract | Certain Iwahori double cosets in the loop group of a reductive group, known under the names of P-alcoves or (J, w, δ)-alcoves, play an important role in the study of affine Deligne–Lusztig varieties. For such an Iwahori double coset, its Newton stratification is related to the Newton stratification of an Iwahori double coset in a Levi subgroup. We study this relationship further, providing in particular a bijection between the occurring Newton strata. As an application, we prove a conjecture of Dong-Gyu Lim, giving a non-emptiness criterion for basic affine Deligne–Lusztig varieties. |
| Persistent Identifier | http://hdl.handle.net/10722/357256 |
| ISSN | 2023 Impact Factor: 0.5 2023 SCImago Journal Rankings: 0.592 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Schremmer, Felix | - |
| dc.date.accessioned | 2025-06-23T08:54:22Z | - |
| dc.date.available | 2025-06-23T08:54:22Z | - |
| dc.date.issued | 2024-06-04 | - |
| dc.identifier.citation | manuscripta mathematica, 2024, v. 175, n. 1-2, p. 513-519 | - |
| dc.identifier.issn | 0025-2611 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/357256 | - |
| dc.description.abstract | <p> Certain Iwahori double cosets in the loop group of a reductive group, known under the names of <em>P</em>-alcoves or (J, w, δ)-alcoves, play an important role in the study of affine Deligne–Lusztig varieties. For such an Iwahori double coset, its Newton stratification is related to the Newton stratification of an Iwahori double coset in a Levi subgroup. We study this relationship further, providing in particular a bijection between the occurring Newton strata. As an application, we prove a conjecture of Dong-Gyu Lim, giving a non-emptiness criterion for basic affine Deligne–Lusztig varieties. <br></p> | - |
| dc.language | eng | - |
| dc.publisher | Springer | - |
| dc.relation.ispartof | manuscripta mathematica | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.subject | 11G25 Varieties over finite and local fields | - |
| dc.subject | 20G25 Linear algebraic groups over local fields and their integers | - |
| dc.title | Newton strata in Levi subgroups | - |
| dc.type | Article | - |
| dc.description.nature | published_or_final_version | - |
| dc.identifier.doi | 10.1007/s00229-024-01566-y | - |
| dc.identifier.scopus | eid_2-s2.0-85195192776 | - |
| dc.identifier.volume | 175 | - |
| dc.identifier.issue | 1-2 | - |
| dc.identifier.spage | 513 | - |
| dc.identifier.epage | 519 | - |
| dc.identifier.eissn | 1432-1785 | - |
| dc.identifier.isi | WOS:001239252600001 | - |
| dc.identifier.issnl | 0025-2611 | - |