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So, what is a derived functor? [PDF]
In the context of infinity categories, we rethink the notion of derived functor in terms of correspondences. This is especially convenient for the description of a passage from an adjoint pair (F,G) of functors to a derived adjoint pair (LF,RG).
V. Hinich
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Singular homology as a derived functor [PDF]
George S. Rinehart
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The tensor product of functors; satellites; and derived functors
Janet L Fisher
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Derived functors of nonadditive functors and homotopy theory [PDF]
The text has been corrected and augmented.
Lawrence Breen, Roman Mikhailov
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Gorenstein derived functors [PDF]
Over any associative ring R R it is standard to derive H o m R ( − , − ) \mathrm {Hom}_R(-,-) using projective resolutions in the first variable, or injective resolutions in the second variable, and doing this ...
Henrik Holm
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On derived categories and derived functors
For an abelian category, a category equivalent to its derived category is constructed by means of specific projective (injective) multicomplexes, the so-called homological resolutions.
Samson Saneblidze
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Derived functor modules arising as large irreducible constituents of degenerate principal series [PDF]
Hisayosi Matumoto, Peter E. Trapa
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Derived Functors of Torsion [PDF]
AbstractIn this note we compute the derived functors of “torsion submodule” using a certain duality result for semi-exact functors on an abelian category of finite global dimension.
Howard L. Hiller
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Homological Bondal-Orlov localization conjecture for rational singularities
Given a resolution of rational singularities $\pi \colon {\tilde {X}} \to X$ over a field of characteristic zero, we use a Hodge-theoretic argument to prove that the image of the functor ${\mathbf {R}}\pi _*\colon {\mathbf {D}}^{\mathrm {b}}({\
Mirko Mauri, Evgeny Shinder
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