Affine Deligne-Lusztig Varieties of Positive Coxeter Type
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866911479857414144 |
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| author | Schremmer, Felix Shimada, Ryosuke Yu, Qingchao |
| author_facet | Schremmer, Felix Shimada, Ryosuke Yu, Qingchao |
| contents | We introduce a class of affine Deligne--Lusztig varieties that we call of positive Coxeter type. We show that the affine Deligne--Lusztig varieties of positive Coxeter type have a very simple and explicitly described geometric structure. Conversely, we explain how some of these geometric properties can be used to characterize this class. These results vastly generalize the work of He--Nie--Yu on affine Deligne-Lusztig varieties of finite Coxeter type, leading to applications to Shimura varieties that were not possible using the old notion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02630 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Affine Deligne-Lusztig Varieties of Positive Coxeter Type Schremmer, Felix Shimada, Ryosuke Yu, Qingchao Algebraic Geometry Representation Theory We introduce a class of affine Deligne--Lusztig varieties that we call of positive Coxeter type. We show that the affine Deligne--Lusztig varieties of positive Coxeter type have a very simple and explicitly described geometric structure. Conversely, we explain how some of these geometric properties can be used to characterize this class. These results vastly generalize the work of He--Nie--Yu on affine Deligne-Lusztig varieties of finite Coxeter type, leading to applications to Shimura varieties that were not possible using the old notion. |
| title | Affine Deligne-Lusztig Varieties of Positive Coxeter Type |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2312.02630 |