Grothendieck–Neeman duality and the Wirthmüller isomorphism
type: Item
instance of: scholarly article
title: Grothendieck–Neeman duality and the Wirthmüller isomorphism
zbMATH Open document ID: 1408.18026
DOI: 10.1112/S0010437X16007375
author: Paul Balmer
author: Ivo Dell'Ambrogio
author: Beren Sanders
published in: Compositio Mathematica
publication date: 2017-09-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/1501.01999
Mathematics Subject Classification ID: 18G80
Mathematics Subject Classification ID: 14F08
Mathematics Subject Classification ID: 55U35
zbMATH DE Number: 6781993
zbMATH Keywords: Serre functor
zbMATH Keywords: Grothendieck duality
zbMATH Keywords: adjoints
zbMATH Keywords: compactly generated triangulated category
zbMATH Keywords: dualizing object
zbMATH Keywords: Wirthmuller isomorphism
MaRDI profile type: Publication
arXiv ID: 1501.01999
cites work: Reflexivity and rigidity for complexes, I: Commutative rings
cites work: Reflexivity and rigidity for complexes. II: Schemes
cites work: Separability and triangulated categories
cites work: Q3335882
cites work: Stratifying the derived category of cochains on \(BG\) for \(G\) a compact Lie group
cites work: Q4694943
cites work: REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
cites work: Reconstruction of a variety from the derived category and groups of autoequivalences
cites work: Q4463616
cites work: Q3427351
cites work: A duality formalism in the spirit of Grothendieck and Verdier
cites work: Pontrjagin Duality for Generalized Homology and Cohomology Theories
cites work: Tensor-triangulated categories and dualities
cites work: Duality in algebra and topology
cites work: Gross-Hopkins duality and the Gorenstein condition
cites work: The Elementary Geometric Structure of Compact Lie Groups
cites work: Éléments de géométrie algébrique. III: Étude cohomologique des faisceaux cohérents. (Séconde partie). Rédigé avec la colloboration de J. Dieudonné
cites work: Q4716283
cites work: Q4707048
cites work: An algebraic model for free rational G -spectra
cites work: 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
cites work: K-theory, reality, and duality
cites work: Axiomatic stable homotopy theory
cites work: Base change functors in the \(\mathbb{A}^1\)-stable homotopy category
cites work: Q3800267
cites work: Q4679165
cites work: A Brown representability theorem via coherent functors
cites work: Equivariant stable homotopy theory. With contributions by J. E. McClure
cites work: Foundations of Grothendieck duality for diagrams of schemes
cites work: Quasi-perfect scheme-maps and boundedness of the twisted inverse image functor
cites work: Q4215784
cites work: Q3739243
cites work: Q4707049
cites work: Q4528987
cites work: On the homotopy groups of a finite dimensional space
cites work: Q5547676
cites work: Stable homotopy as a triangulated functor
cites work: The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
cites work: Triangulated categories
cites work: Q3061972
cites work: On the homology of completion and torsion
cites work: Spanier-Whitehead duality in algebraic geometry
cites work: Q3061973
cites work: Stable model categories are categories of modules
cites work: HZ -algebra spectra are differential graded algebras
cites work: Equivariant homology and duality
cites work: Rigid Dualizing Complexes via Differential Graded Algebras (Survey)
OpenAlex ID: W1724464900
description: scientific article; zbMATH DE number 6781993