Timeline for Derived Category of the Fano 4fold variety of lines
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 27, 2018 at 16:11 | comment | added | IMeasy | Of course you are both right. It's embarrassing how I messed it out in my mind! Thanks anyway for caring to show me I was nonsense. | |
| Jul 26, 2018 at 8:59 | comment | added | Libli | $F(X)$ is a famous example of hyper-K\"ahler manifold deformation equivalent to $\mathrm{Hilb}^2(K3)$ (see Beauville-Donagi). The derived category of a (connected) variety with trivial canonical bundle has no non-trivial SOD. This is a standard trick due to Bridgeland. | |
| Jul 25, 2018 at 17:34 | comment | added | IMeasy | Of course you are right! I was mistaken by a comment on another question, my apologies. | |
| Jul 25, 2018 at 17:03 | comment | added | Jason Starr | What do you mean by "Fano variety"? The classical name for a Hilbert scheme parameterizing linear subschemes of a given projective variety is a "Fano scheme". However, the dualizing sheaf of $F(X)$ is trivial. Thus $F(X)$ is not "Fano" in the sense of having anti-ample dualizing sheaf. | |
| Jul 25, 2018 at 16:53 | history | asked | IMeasy | CC BY-SA 4.0 |