Mathematical Sciences: Faculty Publications

Gorenstein Injective Sheaves

Document Type

Article

Publication Date

2-1-2017

Publication Title

Frontiers of Mathematics in China

DOI

10.1007/s11464-016-0588-x

ISSN

1673-3576

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.

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