List questions from derived-functors

Published on 29 Dec 2015 - 21:58

103

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Global Section Functor exactness for Precosheaves

Published on 30 Dec 2015 - 2:16

223

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For $x\in\operatorname{Ext}_R^1(C,A)$, how to construct an extension $0\to A\to B\to C\to 0$ such that $\partial (id_A)=x$?

Published on 17 Jan 2016 - 21:09

32

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Computation of Maps Between Sheaves

Published on 18 Jan 2016 - 22:11

251

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Tor amplitude of dual complex

Published on 08 Feb 2016 - 13:33

316

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Show that the $i$th local cohomology functor is zero for $i > 0$

Published on 25 Mar 2026 - 11:06

1.3k

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Are those two ways to relate Extensions to Ext equivalent?

Published on 05 Mar 2016 - 13:34

259

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Why does an injective resolution give a complex?

Published on 06 Mar 2016 - 13:07

622

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Variation on localization of Tor

Published on 25 Mar 2016 - 12:43

1.3k

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Computing (the ring structure of) $\mathrm{Ext}^\bullet_R(k,k)$ for $R=k[x]/(x^2)$

Published on 17 Apr 2016 - 20:31

190

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Computation of $\mathrm{Ext}^2_{\mathbb{C}[x,y]}(\mathbb{C}[x,y]/(x^2,xy,y^2), \mathbb{C}[x,y]/(x,y))$

Published on 01 May 2016 - 20:55

343

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Showing a class of objects is $F$-acyclic

Published on 28 May 2016 - 18:54

301

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One of characterizations of projective modules over noetherian ring of finite global dimension

Published on 01 Jun 2016 - 19:47

954

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A left exact functor preserves quasi-isomorphisms between acyclic complexes

Published on 22 Jun 2016 - 3:03

494

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Choosing an injective resolution of a short exact sequence of complexes

Published on 25 Jun 2016 - 23:32

List Question

Derived functors on 2 term exact sequence

Global Section Functor exactness for Precosheaves

For $x\in\operatorname{Ext}_R^1(C,A)$, how to construct an extension $0\to A\to B\to C\to 0$ such that $\partial (id_A)=x$?

Computation of Maps Between Sheaves

Tor amplitude of dual complex

Show that the $i$th local cohomology functor is zero for $i > 0$

Are those two ways to relate Extensions to Ext equivalent?

Why does an injective resolution give a complex?

Variation on localization of Tor

Computing (the ring structure of) $\mathrm{Ext}^\bullet_R(k,k)$ for $R=k[x]/(x^2)$

Computation of $\mathrm{Ext}^2_{\mathbb{C}[x,y]}(\mathbb{C}[x,y]/(x^2,xy,y^2), \mathbb{C}[x,y]/(x,y))$

Showing a class of objects is $F$-acyclic

One of characterizations of projective modules over noetherian ring of finite global dimension

A left exact functor preserves quasi-isomorphisms between acyclic complexes

Choosing an injective resolution of a short exact sequence of complexes

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