Timeline for Is the Quot-scheme over non-singular curve reduced
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 25, 2015 at 13:44 | vote | accept | user43198 | ||
| Oct 23, 2015 at 5:51 | answer | added | Jason Starr | timeline score: 3 | |
| Oct 22, 2015 at 13:05 | comment | added | Jason Starr | Sorry, I misread the question. If you specialize the curve $C$ from my previous comment to one whose canonical image lies on a singular quadric cone, then I believe that the Quot scheme is nonreduced. Certainly the corresponding scheme $G^1_3$ is nonreduced. | |
| Oct 22, 2015 at 12:38 | comment | added | Jason Starr | The Quot schemes can be disconnected. For $g$ equals $4$, for $C$ general, for $\mathcal{F}$ equals $\mathcal{O}_C^{\oplus 2}$, for $r$ equals $1$, and for $d$ equals $3$, the Quot scheme has two connected components. This corresponds to the fact that there are two $g^1_3$s on $C$. | |
| Oct 21, 2015 at 17:56 | history | asked | user43198 | CC BY-SA 3.0 |