An analogue of the Serre-Swan theorem holds in supergeometry: locally free supersheaves of bounded rank are equivalent to finitely generated super projective modules under global generation and acyclicity assumptions.
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The Serre-Swan Theorem in supergeometry
An analogue of the Serre-Swan theorem holds in supergeometry: locally free supersheaves of bounded rank are equivalent to finitely generated super projective modules under global generation and acyclicity assumptions.