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DerivedAlgGeo.AlgebraicGeometry.Modules

Sheaves of modules on a scheme #

Everything stated about Mathlib's X.Modules: Grothendieck's axioms AB4 and AB5, affine comparisons, presentations, stalkwise-flat generators, restriction, pullback, pushforward, tensor products, exterior powers, and the refinement chain X.Modules ⊇ QCoh(X) ⊇ Coh(X) under Quasicoherent/ and Coherent/. Mathlib defines X.Modules in AlgebraicGeometry/Modules/Sheaf.lean, so the subcategories cut out of it live here, with the object, as ModuleCat/Abelian.lean lives with ModuleCat.