2003/08/05 by Peter Jørgensen, Peter Jorgensen, Jorgensen, Peter · 1 citation
Mathematics · #14F05 #16G70 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #math.AG #math.RA #msc:14F05 #msc:16G70
paper · pdf · doi:10.48550/arxiv.math/0308037
8 pages
arxiv created 2003/08/05 · openalex publication_date 2003/08/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let 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.