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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.00683 |
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| _version_ | 1866910472152809472 |
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| author | Schremmer, Felix |
| author_facet | Schremmer, Felix |
| contents | 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 show that this relation is closer than previously known. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_00683 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Newton Strata in Levi Subgroups Schremmer, Felix Algebraic Geometry 11G25 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 show that this relation is closer than previously known. |
| title | Newton Strata in Levi Subgroups |
| topic | Algebraic Geometry 11G25 |
| url | https://arxiv.org/abs/2305.00683 |