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Resumen de Auslander-Reiten sequences on schemes

Peter Jorgensen

  • 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.


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