Gabriel–Rosenberg reconstruction theorem
In algebraic geometry, the Gabriel–Rosenberg reconstruction theorem, introduced in (Gabriel 1962), states that a scheme can be recovered from the category of quasi-coherent sheaves on it.[1] The theorem is taken as a starting point for noncommutative algebraic geometry as the theorem says (in a s sense) working with stuff on a space is equivalent to working with the space itself.
See also
References
- Pierre Gabriel, Des catégories abéliennes, Bulletin de la Société Mathématique de France, 90 (1962), pp. 323–448.
External links
- https://ncatlab.org/nlab/show/Gabriel-Rosenberg+theorem
- https://mathoverflow.net/questions/16257/how-to-unify-various-reconstruction-theorems-gabriel-rosenberg-tannaka-balmers
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