Totally acyclic complexes over noetherian schemes - Mathematics > Algebraic GeometryReportar como inadecuado




Totally acyclic complexes over noetherian schemes - Mathematics > Algebraic Geometry - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We define a notion of total acyclicity for complexes of flat quasi-coherentsheaves over a semi-separated noetherian scheme, generalising complete flatresolutions over a ring. By studying these complexes as objects of the purederived category of flat sheaves we extend several results about totallyacyclic complexes of projective modules to schemes; for example, we prove thata scheme is Gorenstein if and only if every acyclic complex of flat sheaves istotally acyclic. Our formalism also removes the need for a dualising complex inseveral known results for rings, including Jorgensen-s proof of the existenceof Gorenstein projective precovers.



Autor: Daniel Murfet, Shokrollah Salarian

Fuente: https://arxiv.org/







Documentos relacionados