Timeline for Number of sheaves in a full exceptional collection
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 26, 2010 at 19:19 | comment | added | Sasha | One simple relation is $n \ge \dim X + 2\rho(X) - 1$ (if $\dim X \ge 3$), where $\rho(X)$ is the rank of the Picard group. | |
| May 26, 2010 at 18:36 | vote | accept | Agnieszka | ||
| May 26, 2010 at 15:11 | answer | added | Chris Brav | timeline score: 12 | |
| May 26, 2010 at 13:00 | comment | added | Mike Skirvin | If $X = \mathbb{P}^n,$ then its Picard group has rank one for any n, but a full exceptional sequence consists of n+1 line bundles. So I doubt there is any relation in general between the two. | |
| May 26, 2010 at 11:47 | history | asked | Agnieszka | CC BY-SA 2.5 |