Normality of Schubert varieties in affine Grassmannians

2023/12/18 by Bieker, Patrick, Richarz, Timo · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2312.11154

Abstract

We classify all normal Schubert varieties in the affine Grassmannian of a semisimple group over an arbitrary field with special attention to small positive characteristic. The proof is elementary and relies on tangent space calculations for quasi-minuscule Schubert varieties, a refined Levi lemma in positive characteristic and the classification of minimal degenerations.

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

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