On the smooth locus of affine Schubert varieties

Published 22 Dec 2023 in math.AG and math.RT | (2312.14827v2)

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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