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Bijection between $\mathrm{Ext}^1$ and equivalence classes of extensions

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#homological-algebra #abelian-categories #derived-functors #pushforward
122
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Grothendieck group of local affine- surfaces with rational singularities

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#algebraic-geometry #commutative-algebra #sheaf-cohomology #derived-functors #algebraic-k-theory
217
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Functors which are non-isomorphic but whose derived functors are isomorphic

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#category-theory #derived-functors #derived-categories
298
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Restriction-extension identities using six functors formalism

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#algebraic-geometry #modules #adjoint-functors #derived-functors #derived-categories
427
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Transverse intersection and conditions on Tor

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#algebraic-geometry #intersection-theory #derived-functors
136
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Can two elements of an Ext group come from the same middle object of an SES?

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#abstract-algebra #homological-algebra #exact-sequence #abelian-categories #derived-functors
53
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References for Completed Tensor Product and Completed Tor

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#reference-request #tensor-products #book-recommendation #functors #derived-functors
132
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Why is the nearby cycle of a family of elliptic curves the derived pushforward?

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#algebraic-geometry #elliptic-curves #sheaf-theory #derived-functors #derived-categories
259
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Derived functor of additive functor

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#homological-algebra #abelian-categories #derived-functors #derived-categories #additive-categories
140
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The Decomposition Theorem for a resolution of singularities

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#algebraic-geometry #sheaf-theory #derived-functors #derived-categories
42
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What is the model structure on simiplicial $B$-modules?

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#commutative-algebra #homotopy-theory #derived-functors #higher-category-theory
1.1k
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Steps for computing Tor$(\mathbb{Z}, \mathbb{Z}\times\mathbb{Z})$

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#abstract-algebra #algebraic-topology #derived-functors #torsion-groups
77
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shriek-star base change for cohomology of quasi-coherent sheaves on schemes

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#algebraic-geometry #sheaf-cohomology #derived-functors
60
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When is the derived functor of a representable functor representable?

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#derived-functors #derived-categories
96
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Mittag-Leffler Condition and fiber products

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#category-theory #homological-algebra #exact-sequence #abelian-categories #derived-functors

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