Timeline for Complex line bundle over curves
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 20, 2011 at 14:31 | answer | added | Donu Arapura | timeline score: 5 | |
| Jul 20, 2011 at 14:15 | comment | added | Torsten Ekedahl | Dear Georges, yes I forgot to say that it and its inverse are holomorphic at $\infty$. | |
| Jul 20, 2011 at 8:59 | comment | added | Georges Elencwajg | Dear Torsten, your argument is a little incomplete. After all, the non-trivial bundle $\mathcal O(k)$ for $k>0$ has as transition function $1/z^k$, which is holomorphic at $\infty$. The crucial point is that indeed $e^{1/z}$ is holomorphic but also that it has neither zeros nor poles on $\mathbb P^1\setminus 0$. | |
| Jul 20, 2011 at 7:45 | answer | added | Henri | timeline score: 3 | |
| Jul 20, 2011 at 6:33 | comment | added | Torsten Ekedahl | The transition function is holomorphic at $\infty$ so the line bundle is trivial. | |
| Jul 20, 2011 at 6:00 | history | asked | Johnny | CC BY-SA 3.0 |