Gorenstein injective sheaves

DOI10.1007/S11464-016-0588-XzbMath1386.18045OpenAlexW2522203845WikidataQ114222313 ScholiaQ114222313MaRDI QIDQ1692662

Sergio Estrada, Alina C. Iacob

Publication date: 10 January 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-016-0588-x

zbMATH Keywords

Gorenstein injectiveNoetherian scheme

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Derived categories and commutative rings (13D09)

Cites Work

• Relative homological algebra in the category of quasi-coherent sheaves.
• Totally acyclic complexes over noetherian schemes
• The derived category of quasi-coherent sheaves and axiomatic stable homotopy
• Gorenstein homological dimensions.
• Grothendieck duality and base change
• Relative homological algebra
• Kaplansky classes and derived categories
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Balance with unbounded complexes
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• Gorenstein categories and Tate cohomology on projective schemes
• Tate (co)homology via pinched complexes
• the stable derived category of a noetherian scheme

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