Normality of Schubert varieties in affine Grassmannians
Algebraic Geometry
2025-07-10 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.2312.11154,
title = {Normality of Schubert varieties in affine Grassmannians},
author = {Patrick Bieker and Timo Richarz},
journal= {arXiv preprint arXiv:2312.11154},
year = {2025}
}
Comments
Minor corrections, comments welcome!