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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

References

  1. ^ Brandenburg, Martin (2013-10-22). "Rosenberg's Reconstruction Theorem (after Gabber)". arXiv:1310.5978 [math.AG].
  • Pierre Gabriel, Des catégories abéliennes, Bulletin de la Société Mathématique de France, 90 (1962), pp. 323–448.
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