Question

Why discrete modules?

score 63 · Answer 1 · 2026-03-25 19:17:44

63

Views

Why discrete modules?

Published on 25 Mar 2026 - 19:17

score 139 · Answer 2 · 2026-03-25 17:21:50

139

Views

Derived tensor product of finitely generated module of finite projective dimension and bounded above chain complex of finitely generated free modules

Published on 25 Mar 2026 - 17:21

score 133 · Answer 3 · 2023-03-11 14:32:07

133

Views

Understanding key step of dimension shifting proof in homological algebra

Published on 11 Mar 2023 - 14:32

score 38 · Answer 4 · 2026-03-25 17:21:48

38

Views

left bounded chain complex $Z$ such that $Z \otimes_R^{\mathbf L} (R_P/PR_P)$ is uniformly right bounded as $P$ varies over prime ideals of $R$

Published on 25 Mar 2026 - 17:21

score 96 · Answer 5 · 2023-03-27 15:08:16

96

Views

Categories and Sheaves Kashiwara Schapira Theorem 14.4.5

Published on 27 Mar 2023 - 15:08

score 140 · Answer 6 · 2023-04-03 11:55:37

140

Views

Compare two definition of $Rf_!$ (derived pushforward with proper support)

Published on 03 Apr 2023 - 11:55

score 135 · Answer 7 · 2026-03-25 22:05:20

135

Views

Vanishing of $\text{Ext}^i_{X}(E, F)$ vs. $\text{Ext}^i_{\mathcal O_x}(E_x, F_x)$ for $E,F \in \mathcal D^b(\text{Coh } X)$

Published on 25 Mar 2026 - 22:05

score 41 · Answer 8 · 2026-03-25 11:42:14

Trouble understanding the proof that the strictly full triangulated subcategory of objects computing the right derived functor is saturated

score 50 · Answer 9 · 2023-05-25 10:40:00

50

Views

reference request support of derived tensor product

Published on 25 May 2023 - 10:40

score 120 · Answer 10 · 2023-06-01 13:08:36

120

Views

Quillen pair with derived equivalence $\implies$ Quillen equivalence

Published on 01 Jun 2023 - 13:08

score 65 · Answer 11 · 2023-06-08 06:41:49

65

Views

Detecting projective dimension of finitely generated modules over Noetherian semi-perfect rings via vanishing of Ext on simple modules

Published on 08 Jun 2023 - 6:41

score 36 · Answer 12 · 2023-06-13 21:28:03

36

Views

Conceptualizing Derived Functors

Published on 13 Jun 2023 - 21:28

score 80 · Answer 13 · 2023-06-22 02:44:43

80

Views

Nearby cycle complex of a scheme over a DVR with finite number of singularities

Published on 22 Jun 2023 - 2:44

score 45 · Answer 14 · 2023-07-07 19:30:32

45

Views

Poisson-like distribution for partially or fully observed events with "duration"

Published on 07 Jul 2023 - 19:30

score 107 · Answer 15 · 2023-07-12 20:19:39

107

Views

Cohomology of an elliptic surface with section

Published on 12 Jul 2023 - 20:19

List Question

Why discrete modules?

Derived tensor product of finitely generated module of finite projective dimension and bounded above chain complex of finitely generated free modules

Understanding key step of dimension shifting proof in homological algebra

left bounded chain complex $Z$ such that $Z \otimes_R^{\mathbf L} (R_P/PR_P)$ is uniformly right bounded as $P$ varies over prime ideals of $R$

Categories and Sheaves Kashiwara Schapira Theorem 14.4.5

Compare two definition of $Rf_!$ (derived pushforward with proper support)

Vanishing of $\text{Ext}^i_{X}(E, F)$ vs. $\text{Ext}^i_{\mathcal O_x}(E_x, F_x)$ for $E,F \in \mathcal D^b(\text{Coh } X)$

Trouble understanding the proof that the strictly full triangulated subcategory of objects computing the right derived functor is saturated

reference request support of derived tensor product

Quillen pair with derived equivalence $\implies$ Quillen equivalence

Detecting projective dimension of finitely generated modules over Noetherian semi-perfect rings via vanishing of Ext on simple modules

Conceptualizing Derived Functors

Nearby cycle complex of a scheme over a DVR with finite number of singularities

Poisson-like distribution for partially or fully observed events with "duration"

Cohomology of an elliptic surface with section

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