On the smooth locus of affine Schubert varieties
arxiv(2023)
摘要
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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