Timeline for When do we have derived "Hartogs" for quasi-coherent sheaves?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 19, 2012 at 3:39 | comment | added | Sasha | A monomorphism (in the categorical sense) in any triangulated category always splits as a direct summand embedding. This happens very rarely, so you can't count on this. | |
| May 19, 2012 at 1:39 | comment | added | temp | In the sense of category theory (where the category is the derived category), see en.wikipedia.org/wiki/Monomorphism | |
| May 18, 2012 at 19:34 | comment | added | Sasha | What do you mean by a monomorphism? | |
| May 18, 2012 at 12:56 | comment | added | temp | I guess a better question I can ask is, how likely is $Rj_\star j^\star \mathscr{F}\to \mathscr{F}$ a monomorphism in the derived category? | |
| May 18, 2012 at 7:03 | vote | accept | temp | ||
| May 18, 2012 at 7:01 | comment | added | temp | Thanks, I just figured this out by myself. It already fails for $\mathbb{A}^2-0$. Too bad. | |
| May 18, 2012 at 6:59 | history | edited | Karl Schwede | CC BY-SA 3.0 |
added 390 characters in body; added 16 characters in body
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| May 18, 2012 at 6:51 | history | answered | Karl Schwede | CC BY-SA 3.0 |