Timeline for Is the evaluation map always generically surjective?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 17, 2017 at 15:24 | review | Close votes | |||
| Jul 17, 2017 at 19:29 | |||||
| Jul 17, 2017 at 15:01 | vote | accept | Irfan Kadikoylu | ||
| Jul 17, 2017 at 14:44 | comment | added | Jason Starr | The invertible sheaf $L$ is generically globally generated only if $h^0(C,L)$ is at least $1$. There are many examples of higher rank locally free sheaf $E$ where $h^0(C,E)$ is at least $r$, yet the sheaf is not generically globally generated. For instance, for $C$ equal to $\mathbb{P}^1$, for $E$ equal to $\mathcal{O}(-a)\oplus \mathcal{O}(b)$ with $a,b>0$, this happens. | |
| Jul 17, 2017 at 14:44 | answer | added | Mohan | timeline score: 2 | |
| Jul 17, 2017 at 14:32 | history | asked | Irfan Kadikoylu | CC BY-SA 3.0 |