Normality of Schubert varieties in affine Grassmannians

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...

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Hauptverfasser: Bieker, Patrick, Richarz, Timo
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Sprache:eng
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Zusammenfassung: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
DOI:10.48550/arxiv.2312.11154