Schubert varieties for the super affine Grassmannian of $GL_{n|m}$

Vladimir Stukopin; Sofia Gureva

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arXiv · 2606.17318

Schubert varieties for the super affine Grassmannian of $GL_{n|m}$

Vladimir Stukopin·Sofia Gureva

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Abstract

We study Schubert varieties of the affine Grassmannian for the general linear supergroup $GL_{n|m}$. An explicit computational study is conducted in low-dimensional cases, namely for dimensions $n|m = 1|1$ and $2|1$. We describe the supervariety structures that arise in these settings, providing coordinate descriptions, equations, and morphisms.

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Vladimir Stukopin, Sofia Gureva. 2026-06-15. Schubert varieties for the super affine Grassmannian of $GL_{n|m}$. https://arxiv.org/abs/2606.17318

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