On the type-Q supergrassmannian and its toric subvarieties, all invertible and Pi-invertible sheaves come from Pi-projective-space factors, detected by counting simplex factors in a polytope.
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Invertible sheaves and $\Pi$-invertible sheaves on the isomeric supergrassmannian and its toric subvarieties
On the type-Q supergrassmannian and its toric subvarieties, all invertible and Pi-invertible sheaves come from Pi-projective-space factors, detected by counting simplex factors in a polytope.