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math.AG2025★ 2 cited
The Serre-Swan Theorem in supergeometry
Archana S. Morye, Abhay Soman, V. Devichandrika
We show the analogue of the Serre-Swan theorem in a context of supergeometry. This theorem gives an equivalence of the category of locally free supersheaves of bounded rank over lo…
math.AG2022
Notes on Super Projective Modules
Archana Morye, Aditya Sarma Phukon, Devichandrika V
Projective modules are a link between geometry and algebra as established by the theorem of Serre-Swan. In this paper, we define the super analog of projective modules and explore…
math.AG2009★ 2 cited
Note on the Serre-Swan Theorem
Archana S. Morye
We determine a class of ringed space X, for which the category of locally free sheaves of bounded rank is equivalent to the category of finitely generated projective A(X)-modules,…