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15
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$A$ - dga over field, then $H^i(A) = 0, i > 1$ implies $HH_i(A) = 0, i < -1$

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#homological-algebra #derived-categories #differential-graded-algebras
334
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Images of derived categories of $X, Z$ in derived category of blow up

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#algebraic-geometry #blowup #derived-categories
408
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derived category of quotient category

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#algebraic-geometry #homological-algebra #derived-categories
617
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Are quasi-isomorphisms always invertible in the homotopy category?

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#category-theory #homological-algebra #derived-categories
393
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Derived functors and induced functors

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#category-theory #homological-algebra #derived-functors #derived-categories
3.5k
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Distinguished triangle induced by short exact sequence

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#category-theory #homological-algebra #derived-categories
389
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When does the inverse image functor commute with internal hom?

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#general-topology #sheaf-theory #derived-functors #derived-categories
233
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Derived functor defined with an adapted subcategory

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#homological-algebra #derived-functors #derived-categories
291
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Ext functor in derived categories

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#algebraic-geometry #category-theory #derived-functors #derived-categories
1.6k
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Serre duality in derived category

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#algebraic-geometry #duality-theorems #derived-categories
195
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Reference Request. Using algebraic geometry to study categories enriched over rings.

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#algebraic-geometry #category-theory #derived-categories #enriched-category-theory
359
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The exact sequence associated to a distinguished triangle

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#homological-algebra #derived-categories
138
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Basic questions about Verdier duality

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#algebraic-geometry #sheaf-cohomology #derived-categories
205
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equivalences induced by functors

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#abstract-algebra #category-theory #representation-theory #functors #derived-categories
77
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Checking that the perverse $t$-structure is a $t$-structure

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#homological-algebra #sheaf-cohomology #derived-categories

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