Timeline for Understanding (the wiki page on) Verdier duality
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 19, 2012 at 1:11 | history | edited | David Roberts♦ | CC BY-SA 3.0 |
Added hyperlink
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| Apr 19, 2012 at 0:39 | answer | added | Justin Curry | timeline score: 2 | |
| Jun 24, 2011 at 1:38 | comment | added | Greg Friedman | This is maybe not what you want, but there are some very good introductions to derived categories available now. The first coming to mind are Gelfand-Manin, Methods of Homological Algebra; Dimca, Sheaves in Topology; sections of Borel's book on Intersection Cohomology; and Banagl, Topological Invariants of Stratified Spaces. Admittedly these show off my topological bias. If you're daring, there's also Kashiwara-Schapira. I think David Massey also has some lecture notes. | |
| Jun 23, 2011 at 20:59 | answer | added | DamienC | timeline score: 3 | |
| Jun 23, 2011 at 20:54 | comment | added | DamienC | I do really mean $F$, because I ma working with the derived category of $F$-modules (as in the wiki). But you can just take $F=\mathbb{Z}$ if you like. | |
| Jun 23, 2011 at 20:40 | comment | added | James D. Taylor | Thanks! You mean $[S[-k],S]$, right? Because $H^k(X,S)$ doesn't depend on $F$. | |
| Jun 23, 2011 at 20:37 | comment | added | DamienC | Very shortly, for any sheaf $S$ (i.e. a complex of sheaves concentrated in degree $0$), $[F[-k],S]=H^k(X,S)$. | |
| Jun 23, 2011 at 20:30 | comment | added | James D. Taylor | Why is $[F,F[k]]=H^k(X,F)$? | |
| Jun 23, 2011 at 20:27 | comment | added | DamienC | I guess that there is a typo and that $[F,X[k]]$ should be understood as $[F,F[k]]$. | |
| Jun 23, 2011 at 19:48 | history | asked | James D. Taylor | CC BY-SA 3.0 |