Auslander-Reiten sequences on schemes

• Autores: Peter Jorgensen
• Localización: Arkiv för matematik, ISSN 0004-2080, Vol. 44, Nº 1, 2006, págs. 97-103
• Idioma: inglés
• DOI: 10.1007/s11512-005-0002-5
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.