List questions from derived-functors

Published on 25 Mar 2026 - 5:05

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Derived Tensor Product in Terms of Homotopy Groups

Published on 11 Aug 2021 - 14:29

424

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If $x_1,...,x_n \in \mathfrak m$ is $M$-regular sequence, which $\operatorname{Tor}^R_i(M,R/(x_1,...,x_n))$ are $0$?

Published on 12 Aug 2021 - 9:06

204

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If $\text{Tor}^R_1(M,R/xR)=0$, then is $x$ necessarily $M$-regular?

Published on 22 Sep 2021 - 7:03

254

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Compute Ext functor $\mathrm{Ext}^i_{\mathbb Z}(\mathbb Q, \mathbb Z/2\mathbb Z)$

Published on 30 Sep 2021 - 0:35

133

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Derived functor of a reflection (BGP) functor

Published on 26 Mar 2026 - 7:57

46

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How to compute the map $i^!\to i^*$ for a nilpotent variety.

Published on 25 Mar 2026 - 16:02

71

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Hartshorne's Caution 6.5.2: $\mathcal{Ext}^*(-,\mathcal{G})$ as a derived functor in the first variable

Published on 11 Nov 2021 - 19:08

69

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Right derived functors

Published on 13 Nov 2021 - 8:42

47

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locally free resolution for computation of Ext sheaves in Hartshorne Proposition 6.5

Published on 01 Dec 2021 - 18:06

61

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Compute the Derived functor $RF^i(A)$ for $i\ge 1$

Published on 02 Dec 2021 - 8:31

125

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A question regarding the homotopy method in "Sheaves on Manifolds" by Kashiwara and Schapira

Published on 06 Dec 2021 - 5:50

249

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Hyper-derived functors and Cartan-Eilenberg resolutions

Published on 08 Dec 2021 - 11:12

419

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Vanishing of Ext groups of Coherent sheaves over Noetherian regular scheme

Published on 26 Mar 2026 - 21:27

182

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fully faithfulness of the direct image, but on $\text{Ext}^1$

Published on 22 Dec 2021 - 21:07

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Proof of derived tensor-hom adjunction

Derived Tensor Product in Terms of Homotopy Groups

If $x_1,...,x_n \in \mathfrak m$ is $M$-regular sequence, which $\operatorname{Tor}^R_i(M,R/(x_1,...,x_n))$ are $0$?

If $\text{Tor}^R_1(M,R/xR)=0$, then is $x$ necessarily $M$-regular?

Compute Ext functor $\mathrm{Ext}^i_{\mathbb Z}(\mathbb Q, \mathbb Z/2\mathbb Z)$

Derived functor of a reflection (BGP) functor

How to compute the map $i^!\to i^*$ for a nilpotent variety.

Hartshorne's Caution 6.5.2: $\mathcal{Ext}^*(-,\mathcal{G})$ as a derived functor in the first variable

Right derived functors

locally free resolution for computation of Ext sheaves in Hartshorne Proposition 6.5

Compute the Derived functor $RF^i(A)$ for $i\ge 1$

A question regarding the homotopy method in "Sheaves on Manifolds" by Kashiwara and Schapira

Hyper-derived functors and Cartan-Eilenberg resolutions

Vanishing of Ext groups of Coherent sheaves over Noetherian regular scheme

fully faithfulness of the direct image, but on $\text{Ext}^1$

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