Completing perfect complexes. With appendices by Tobias Barthel and Bernhard Keller

DOI10.1007/s00209-020-02490-zzbMath1455.18009OpenAlexW3016720740MaRDI QIDQ2205606

Henning Krause

Publication date: 21 October 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-020-02490-z

zbMATH Keywords

triangulated categorycompletionderived categoryCauchy sequencecoherent ringring spectrumperfect complexNoetherian schememorphic enhancement

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Derived categories and associative algebras (16E35) Derived categories, triangulated categories (18G80) Sheaves in algebraic geometry (14F06)

Related Items

Recollements, comma categories and morphic enhancements ⋮ Liftable derived equivalences and objective categories ⋮ Representability and autoequivalence groups ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Brown representability theorem and phantomless triangulated categories
• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• Phantom maps and homology theories
• Chain complexes and stable categories
• Cohomological direct images in model categories
• Derivators, pointed derivators and stable derivators
• Smashing subcategories and the telescope conjecture -- an algebraic approach
• Metrics on triangulated categories
• Quasi-perfect scheme-maps and boundedness of the twisted inverse image functor
• Locally finite triangulated categories.
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• On axiomatic homology theory
• Triangulated Categories
• Report on locally finite triangulated categories
• Derived categories and universal problems
• Locally finitely presented additive categories
• Deriving DG categories
• Axiomatic stable homotopy theory
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
• Des catégories abéliennes
• the stable derived category of a noetherian scheme