Auslander�Reiten sequences are the central item of Auslander�Reiten theory, which is one of the most important techniques for the investigation of the structure of abelian categories.
This note considers X, a smooth projective scheme of dimension at least 1 over the field k, and C, an indecomposable coherent sheaf on X. It is proved that in the category of quasi-coherent sheaves on X, there is an Auslander�Reiten sequence ending in C.
© 2001-2024 Fundación Dialnet · Todos los derechos reservados