A Zariski-local notion of F-total acyclicity for complexes of sheaves

DOI10.2989/16073606.2017.1283545zbMath1423.18047arXiv1510.08102OpenAlexW2962786493MaRDI QIDQ5236062

Sergio Estrada, Lars Winther Christensen, Alina C. Iacob

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08102

zbMATH Keywords

ascent-descent propertyF-total acyclicityGorenstein flat precover

Mathematics Subject Classification ID

Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Chain complexes (category-theoretic aspects), dg categories (18G35) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items

Cut cotorsion pairs ⋮ Locally type \(\mathrm{FP}_n\) and \(n\)-coherent categories ⋮ The stable category of Gorenstein flat sheaves on a noetherian scheme

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relative homological algebra in the category of quasi-coherent sheaves.
• Totally acyclic complexes over noetherian schemes
• The homotopy category of flat modules, and Grothendieck duality
• Some adjoints in homotopy categories
• Commutative coherent rings
• Gorenstein homological dimensions.
• Flat covers of modules
• Kaplansky classes and derived categories
• Cotorsion pairs and degreewise homological model structures
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Gorenstein flat and projective (pre)covers
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• How To Make Ext Vanish
• Flat Covers in the Category of Quasi-coherent Sheaves Over the Projective Line
• Descent of restricted flat Mittag–Leffler modules and generalized vector bundles
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Local homology and cohomology on schemes
• Sheafifiable homotopy model categories
• Deconstructibility and the Hill Lemma in Grothendieck categories
• All Modules Have Gorenstein Flat Precovers
• Some Results on Coherent Rings
• Gorenstein projective dimension for complexes