List questions from derived-functors

Published on 03 Dec 2014 - 7:46

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Motivation for Definition of Derived Category

Published on 21 Dec 2014 - 23:51

409

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Betti numbers and dimension of socle of an ideal

Published on 08 Oct 2019 - 23:59

69

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Long exact sequence of derived functors from a finite exact sequence (resolution) ending with zeros

Published on 17 Oct 2019 - 20:33

473

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On relating $\operatorname {Tor}_i^R (k, M)$ and $ \operatorname {Ext}_R^{d-i} (k, M)$

Published on 30 Oct 2019 - 0:20

804

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How to compute a derived tensor product?

Published on 07 Nov 2019 - 10:49

268

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Opposite and product of derived categories

Published on 01 Dec 2019 - 8:26

221

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Why are $\operatorname{Tor}_2$ and $\operatorname{Ext}^2$ often $0$?

Published on 05 Dec 2019 - 15:56

140

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Tensoring locally free sheaves preserves acyclicity

Published on 05 Dec 2019 - 19:23

38

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section functor with support in a point of $\mathbb{R}^n$

Published on 20 Dec 2019 - 7:40

157

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Does $\text{Tor}_1^R(M, M) = M$?

Published on 26 Dec 2019 - 17:42

120

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Finding Tor of k[x]-module

Published on 18 Jan 2020 - 12:17

804

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Doubt over a proof about higher direct image functors in Hartshorne

Published on 21 Jan 2020 - 3:48

63

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Derived functor and natural transformation

Published on 27 Jan 2020 - 0:12

335

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How to construct a short exact sequence of complexes

Published on 18 Feb 2020 - 15:35

List Question

How to pronounce Ext

Motivation for Definition of Derived Category

Betti numbers and dimension of socle of an ideal

Long exact sequence of derived functors from a finite exact sequence (resolution) ending with zeros

On relating $\operatorname {Tor}_i^R (k, M)$ and $ \operatorname {Ext}_R^{d-i} (k, M)$

How to compute a derived tensor product?

Opposite and product of derived categories

Why are $\operatorname{Tor}_2$ and $\operatorname{Ext}^2$ often $0$?

Tensoring locally free sheaves preserves acyclicity

section functor with support in a point of $\mathbb{R}^n$

Does $\text{Tor}_1^R(M, M) = M$?

Finding Tor of k[x]-module

Doubt over a proof about higher direct image functors in Hartshorne

Derived functor and natural transformation

How to construct a short exact sequence of complexes

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