In The quantum chiral Minkowski and conformal superspaces by Cervantes, Fioresi, and Lledó the super Grassmannian of $(2|0)$ planes in $\mathbb{C}^{4|1}$ is consider. In Equation (4.9) some "super Plücker relations" are given for this particular super Grassmannian. The relations contain the classical Plücker relation for $Gr(2,4)$ plus some more relations.
John Machacek
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