List questions from derived-functors

Published on 22 Mar 2026 - 2:46

291

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Ext functor in derived categories

Published on 17 Mar 2026 - 3:18

258

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Why $\mathrm{Ext}^n_{R[t]}(X, Y)\simeq\mathrm{Ext}^n_R(X, Y)\oplus\mathrm{Ext}^{n-1}_R(X, Y)$?

Published on 30 Apr 2018 - 15:55

613

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Vanishing of $\varprojlim^1$ on Mittag-Leffler sequences story.

Published on 31 May 2018 - 14:42

161

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Computing $R^1f_*\mathcal{O}_\hat{X}(\pm E)$ for blow-up of $\mathbb{A}^2_k$ at the origin

Published on 17 Mar 2026 - 23:17

388

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injective dimension and Ext

Published on 12 Jun 2018 - 7:38

296

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Katz and Mazur - Derived pushforward and invertible sheaves

Published on 09 Jul 2018 - 12:41

171

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Can we "integrate" functors?

Published on 16 Jul 2018 - 14:00

550

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Explicit computations for derived functors

Published on 13 Aug 2018 - 2:51

159

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Differentiate the following function $f(x)=\sqrt{\frac{1-x}{1+x}}$

Published on 14 Aug 2018 - 17:42

206

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Applying a functor to a homotopy of chain maps yields an isomorphism of homology groups?

Published on 22 Aug 2018 - 7:38

494

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Pushforward of quasi-coherent sheaves to quotient stack for finite group action?

Published on 24 Mar 2026 - 6:23

54

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How "nice" is the functor giving relative sheaf cohomology?

Published on 23 Aug 2018 - 13:55

390

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Universal property of homotopy pullbacks

Published on 17 Mar 2026 - 9:47

161

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Commutativity between functors on sheaves of abelian groups

Published on 24 Aug 2018 - 15:21

List Question

Homology as a Derived Functor

Ext functor in derived categories

Why $\mathrm{Ext}^n_{R[t]}(X, Y)\simeq\mathrm{Ext}^n_R(X, Y)\oplus\mathrm{Ext}^{n-1}_R(X, Y)$?

Vanishing of $\varprojlim^1$ on Mittag-Leffler sequences story.

Computing $R^1f_*\mathcal{O}_\hat{X}(\pm E)$ for blow-up of $\mathbb{A}^2_k$ at the origin

injective dimension and Ext

Katz and Mazur - Derived pushforward and invertible sheaves

Can we "integrate" functors?

Explicit computations for derived functors

Differentiate the following function $f(x)=\sqrt{\frac{1-x}{1+x}}$

Applying a functor to a homotopy of chain maps yields an isomorphism of homology groups?

Pushforward of quasi-coherent sheaves to quotient stack for finite group action?

How "nice" is the functor giving relative sheaf cohomology?

Universal property of homotopy pullbacks

Commutativity between functors on sheaves of abelian groups

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