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On the smooth locus of affine Schubert varieties

By Georgios Pappas and Rong Zhou
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.
January 28, 2024
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On the smooth locus of affine Schubert varieties
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