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Gorenstein injective sheaves

Gorenstein injective sheaves
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摘要 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. 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.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2017年第1期87-95,共9页 中国高等学校学术文摘·数学(英文)
关键词 Gorenstein injective Noetherian scheme Gorenstein injective, Noetherian scheme
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