Geometry and cohomology of compactified Deligne--Lusztig varieties
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912909998686208 |
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| author | Wang, Yingying |
| author_facet | Wang, Yingying |
| contents | For connected reductive groups together with a Frobenius root $F$, we show that the cohomology of the structure sheaf and respectively the canonical sheaf for compactified Deligne--Lusztig varieties associated to an element in the free monoid generated by the simple reflections is isomorphic to that of a minimal length element in an $F$-conjugacy class in the Weyl group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00979 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometry and cohomology of compactified Deligne--Lusztig varieties Wang, Yingying Algebraic Geometry Representation Theory 20G40, 14G17 For connected reductive groups together with a Frobenius root $F$, we show that the cohomology of the structure sheaf and respectively the canonical sheaf for compactified Deligne--Lusztig varieties associated to an element in the free monoid generated by the simple reflections is isomorphic to that of a minimal length element in an $F$-conjugacy class in the Weyl group. |
| title | Geometry and cohomology of compactified Deligne--Lusztig varieties |
| topic | Algebraic Geometry Representation Theory 20G40, 14G17 |
| url | https://arxiv.org/abs/2403.00979 |