Timeline for Centralizer/Normalizer of global sections of vector bundles on curves
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 17, 2017 at 16:04 | comment | added | Mohan | Take $E$ to be the trivial bundle, $\mathcal{O}_X^n$. | |
| Apr 17, 2017 at 16:00 | comment | added | user43198 | @Mohan meaning, are there examples when $E$ is not simple but gives a positive answer to the question. | |
| Apr 17, 2017 at 15:59 | comment | added | Mohan | What do you mean? | |
| Apr 17, 2017 at 15:58 | comment | added | user43198 | @Mohan Thanks, is there any other possibilities? | |
| Apr 17, 2017 at 15:55 | comment | added | Mohan | For a simple bundle (for example, stable) $E$, $H^0(\mathcal{E}nd(E))$ is just the scalars, so your condition would be trivially satisfied and you have $C_x=N_x=\mathcal{E}nd(E)_x$. | |
| Apr 17, 2017 at 15:14 | history | asked | user43198 | CC BY-SA 3.0 |