On the smooth locus of affine Schubert varieties

2023/12/22 by Pappas, Georgios, Zhou, Rong · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2312.14827

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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• Normality of Schubert varieties in affine Grassmannians II: The tamely ramified case

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