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arXiv · 2312.14827

On the smooth locus of affine Schubert varieties

Georgios Pappas·Rong Zhou
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Abstract

We give a simple and uniform proof of a conjecture of Haines-Richarz characterizing the smooth locus of Schubert varieties in twisted affine Grassmannians. Our method is elementary and avoids any representation theoretic techniques, instead relying on a combinatorial analysis of tangent spaces of Schubert varieties.

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Georgios Pappas, Rong Zhou. 2023-12-22. On the smooth locus of affine Schubert varieties. https://arxiv.org/abs/2312.14827

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