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arXiv · 2411.08403

Purity of the anisotropic affine Springer fibers for $\mathbf{GL}_{n}$

Zongbin Chen
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Abstract

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.

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Zongbin Chen. 2024-11-13. Purity of the anisotropic affine Springer fibers for $\mathbf{GL}_{n}$. https://arxiv.org/abs/2411.08403

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