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Gorenstein injective sheaves

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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.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Murcia, Murcia, 30100, Spain

    Sergio Estrada

  2. Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, 30460, USA

    Alina Iacob

Authors
  1. Sergio Estrada
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  2. Alina Iacob
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Correspondence to Sergio Estrada.

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Estrada, S., Iacob, A. Gorenstein injective sheaves. Front. Math. China 12, 87–95 (2017). https://doi.org/10.1007/s11464-016-0588-x

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

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