Gabriel–Rosenberg reconstruction theorem
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In algebraic geometry, the Gabriel–Rosenberg reconstruction theorem, introduced in Gabriel (1962), states that a quasi-separated 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 sense) working with stuff on a space is equivalent to working with the space itself. It is named after Pierre Gabriel and Alexander L. Rosenberg.
See also
[edit | edit source]References
[edit | edit source]- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
External links
[edit | edit source]- https://ncatlab.org/nlab/show/Gabriel-Rosenberg+theorem
- How to unify various reconstruction theorems (Gabriel-Rosenberg, Tannaka, Balmers)
