The homotopy category of flat modules, and Grothendieck duality
A Neeman - Inventiones mathematicae, 2008 - Springer
Let R be a ring. We prove that the homotopy category K(R-Proj) is always $\aleph_1$ -compactly
generated, and, depending on the ring R, it may or may not be compactly generated. …
generated, and, depending on the ring R, it may or may not be compactly generated. …
Grothendieck Duality For Flat Morphisms
MH Khusyairi - 2017 - search.proquest.com
… flat base change morphism, we discuss how understanding these proofs may enable us to
generalize this Grothendieck Duality formula for flat … induced and coinduced module functors i, …
generalize this Grothendieck Duality formula for flat … induced and coinduced module functors i, …
Coherent rings, fp-injective modules, dualizing complexes, and covariant Serre–Grothendieck duality
L Positselski - Selecta Mathematica, 2017 - Springer
… (Alternatively, one can use the Govorov–Lazard characterization of flat modules as filtered
inductive limits of finitely generated projective ones together with the fact that the class of fp-…
inductive limits of finitely generated projective ones together with the fact that the class of fp-…
The homotopy category of pure injective flats and Grothendieck duality
E Hosseini - arXiv preprint arXiv:2001.00142, 2020 - arxiv.org
… flat quasi-coherent OX -modules. Where X is affine, we show that this equivalence is the
infinite completion of the Grothendieck duality … the pure derived category of flats and the pure …
infinite completion of the Grothendieck duality … the pure derived category of flats and the pure …
Grothendieck-Verdier duality in categories of bimodules and weak module functors
J Fuchs, G Schaumann, C Schweigert… - arXiv preprint arXiv …, 2023 - arxiv.org
… Grothendieck-Verdier dualities, concentrating on such which are related to internal Hom and
coHom functors. Our point of view is the one of module … the simple module S is not flat. The …
coHom functors. Our point of view is the one of module … the simple module S is not flat. The …
[图书][B] Foundations of Grothendieck duality for diagrams of schemes
J Lipman, M Hashimoto - 2009 - books.google.com
… The fourth chapter presents the abstract foundations of Grothendieck Duality—existence …
are proved, including Grothendieck duality for proper morphisms, and flat base change. Also, …
are proved, including Grothendieck duality for proper morphisms, and flat base change. Also, …
[HTML][HTML] Bivariance, Grothendieck duality and Hochschild homology, II: The fundamental class of a flat scheme-map
… the fundamental class in terms of differential modules, or perhaps cotangent complexes,
via … , where local and global duality merge into a single duality theory, of which fundamental …
via … , where local and global duality merge into a single duality theory, of which fundamental …
Abstract Grothendieck Duality for Schemes
J Lipman, M Hashimoto, J Lipman… - … of Grothendieck Duality …, 2009 - Springer
… flat base change, Theorems (4.8.1) and (4.8.3). The abstract theory begins with Theorem (4.1)
(Global Duality… OX-modules such that every lfp OX-module is isomorphic to a member of S. …
(Global Duality… OX-modules such that every lfp OX-module is isomorphic to a member of S. …
[图书][B] Grothendieck duality and base change
B Conrad - 2000 - Springer
… modules on a locally noetherian scheme X are exactly the injective ex-modules which are
quasi-… The most fundamental proper smooth morphism in Grothendieck's approach to duality …
quasi-… The most fundamental proper smooth morphism in Grothendieck's approach to duality …
[图书][B] The mock homotopy category of projectives and Grothendieck duality
DS Murfet - 2007 - therisingsea.org
… Let us clear up a possible point of confusion: given a scheme X and a complex X of quasi-coherent
sheaves, we say that X is K-flat when it is K-flat as a complex of sheaves of modules …
sheaves, we say that X is K-flat when it is K-flat as a complex of sheaves of modules …
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