Categorical properties of reduction functors over non-positive DG-rings

DOI10.1090/proc/16517arXiv2210.07348OpenAlexW4367050274MaRDI QIDQ6142606

Liran Shaul

Publication date: 4 January 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.07348

Mathematics Subject Classification ID

Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Differential graded algebras and applications (associative algebraic aspects) (16E45) Special properties of functors (faithful, full, etc.) (18A22) Derived categories and commutative rings (13D09)

Cites Work

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• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Injective DG-modules over non-positive DG-rings
• The telescope conjecture for hereditary rings via Ext-orthogonal pairs.
• Koszul complexes over Cohen-Macaulay rings
• Resolutions and homological dimensions of DG-modules
• Completion and torsion over commutative DG rings
• 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
• Colocalizing subcategories of D(R)
• Local cohomology and support for triangulated categories
• Deriving DG categories
• Colocalizing subcategories and cosupport
• Derived Categories

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