Gabriel–Rosenberg reconstruction theorem

ID: gabriel-rosenberg-reconstruction-theorem

The Gabriel–Rosenberg reconstruction theorem is a result in the field of category theory and algebraic geometry, particularly concerning the reconstruction of schemes or algebraic varieties from their categories of coherent sheaves. The theorem, often associated with the work of Gabriel and Rosenberg, deals with the relationship between a certain type of category, called a quasi-coherent sheaf category, and the underlying geometric objects (in this case, schemes).

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