Gorenstein Injective Sheaves

Authors

Sergio Estrada, Universidad de MurciaFollow
Alina Iacob, Georgia Southern UniversityFollow

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.

Recommended Citation

Estrada, Sergio, Alina Iacob. 2017. "Gorenstein Injective Sheaves." Frontiers of Mathematics in China, 12 (1): 87-95. doi: 10.1007/s11464-016-0588-x
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/566