Grothendieck’s representability theorem

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Grothendieck’s representability theorem is a foundational result in algebraic geometry that gives criteria under which a functor from schemes to sets is representable by a scheme (or algebraic space), enabling the construction of moduli spaces.

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Hilbert scheme theory usesConcept Grothendieck’s representability theorem
FGA (Fondements de la géométrie algébrique) containsResult foundations of the theory of moduli functors
linked to: Grothendieck’s representability theorem