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DerivedAlgGeo.AlgebraicGeometry.Modules.Coherent.Abelian.Extensions

Extensions of coherent sheaves #

Finite presentation of module sheaves is closed under extensions on an arbitrary ringed site; the categorical proof lives in DerivedAlgGeo.Algebra.Category.ModuleCat.Sheaf.Presentation.Extensions. This file applies that result to the coherent object property on a scheme.

Main result #

Coherent module sheaves are closed under extensions.