2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68248Let X be a smooth projective scheme of dimension d >= 1 over the field k, and let C be an indecomposable coherent sheaf on X. Then there is an Auslander-Reiten sequence in the category of quasi-coherent sheaves on X, with C as right hand end term. The left hand end term of the sequence can be computed. It is the (d-1)'st syzygy in a minimal injective resolution of C, tensor the dualizing sheaf of X.8 pagesAlgebraic GeometryRings and Algebras14F05, 16G70text