Gorenstein Injective Sheaves

Sergio Estrada; Alina Iacob

doi:10.1007/s11464-016-0588-x

Gorenstein Injective Sheaves

Sergio Estrada, Alina Iacob

Mathematical Sciences

University of Murcia

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	American English
Journal	Frontiers of Mathematics in China
Volume	12
DOIs	https://doi.org/10.1007/s11464-016-0588-x
State	Published - Feb 2017

Disciplines

Physical Sciences and Mathematics

Keywords

Gorenstein injective
Noetherian scheme

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10.1007/s11464-016-0588-xLicense: Unspecified

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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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AU - Iacob, Alina

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Y1 - 2017/2

N2 - 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.

AB - 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.

KW - Gorenstein injective

KW - Noetherian scheme

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

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DO - 10.1007/s11464-016-0588-x

M3 - Article

SN - 2731-8648

VL - 12

JO - Frontiers of Mathematics in China

JF - Frontiers of Mathematics in China

ER -

Gorenstein Injective Sheaves

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Keywords

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