Timeline for Does the derived category remember the homological dimension?
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 7, 2012 at 17:06 | comment | added | temp | If the derived category is the bounded derived category of a smooth projective variety, then you can recover its dimension from point like object, because every point like object have a codimension, and they are all equal to dim$X$. see Huybrechts' book on Fourier-Mukai. | |
| Mar 6, 2011 at 7:12 | comment | added | mephisto | No, you also need the t-structure on the derived category. | |
| Mar 5, 2011 at 17:48 | vote | accept | Yuhao Huang | ||
| Mar 5, 2011 at 17:28 | answer | added | Mariano Suárez-Álvarez | timeline score: 13 | |
| Mar 5, 2011 at 10:28 | answer | added | Leonid Positselski | timeline score: 34 | |
| Mar 5, 2011 at 9:14 | comment | added | the L | Assuming $\mathcal{A}$ is the entire category of modules over a ring $R$, if $R$ is local or commutative then $D^{b}(Mod R)$ determines $R$ up to Morita equivalence. | |
| Mar 5, 2011 at 8:41 | history | edited | Charles Matthews | CC BY-SA 2.5 |
grammar
|
| Mar 5, 2011 at 7:58 | history | edited | Zev Chonoles | CC BY-SA 2.5 |
fixed the latex
|
| Mar 5, 2011 at 6:48 | history | asked | Yuhao Huang | CC BY-SA 2.5 |