Purity of the anisotropic affine Springer fibers for $\mathbf{GL}_{n}$
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916045604782080 |
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| author | Chen, Zongbin |
| author_facet | Chen, Zongbin |
| contents | For the group $\mathrm{GL}_{n}$ and the anisotropic elements, we confirm the purity hypothesis of Goresky, Kottwitz and MacPherson, which states that the affine Springer fibers are cohomologically pure in the sense of Grothendieck-Deligne. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08403 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Purity of the anisotropic affine Springer fibers for $\mathbf{GL}_{n}$ Chen, Zongbin Algebraic Geometry Representation Theory For the group $\mathrm{GL}_{n}$ and the anisotropic elements, we confirm the purity hypothesis of Goresky, Kottwitz and MacPherson, which states that the affine Springer fibers are cohomologically pure in the sense of Grothendieck-Deligne. |
| title | Purity of the anisotropic affine Springer fibers for $\mathbf{GL}_{n}$ |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2411.08403 |