Schubert varieties for the super affine Grassmannian of $G{L}_{n\mathrm{\mid }m}$

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