Frontiers of Mathematics in China >

2017 , Vol. 12 >Issue 1: 87 - 95

DOI: https://doi.org/10.1007/s11464-016-0588-x

RESEARCH ARTICLE

Gorenstein injective sheaves

  • Sergio ESTRADA , 1 ,
  • Alina IACOB 2
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  • 1. Departamento de Matemáticas, Universidad de Murcia, Murcia 30100, Spain
  • 2. Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460, USA

Received date: 25 Nov 2015

Accepted date: 04 Mar 2016

Published date: 01 Feb 2017

Copyright

2016 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Gorenstein injective; Noetherian scheme

Cite this article

Sergio ESTRADA , Alina IACOB . Gorenstein injective sheaves[J]. Frontiers of Mathematics in China, 2017 , 12(1) : 87 -95 . DOI: 10.1007/s11464-016-0588-x

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