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.