Gorenstein injective sheaves

Abstract

We define Gorenstein injective quasi-coherent sheaves, and prove that the notion is local in case the scheme is Gorenstein. We also give a new characterization of a Gorenstein scheme in terms of the total acyclicity of every acyclic complex of injective quasi-coherent modules.

Keywords

Gorenstein injective / Noetherian scheme

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Higher Education Press and Springer-Verlag Berlin Heidelberg