Timeline for Complex manifold mapping to a Riemann surface it contains
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 21, 2021 at 16:52 | answer | added | Will Sawin | timeline score: 4 | |
| Sep 21, 2021 at 14:22 | comment | added | jkelim | Is there an example with compact complex manifolds where there is a surjective map but no retract? | |
| Sep 21, 2021 at 13:47 | comment | added | YCor | In such a counterexample, the non-trivial map is even a retraction (i.e., is identity on $\Sigma$). That is, a retract need not be a direct factor. | |
| Sep 21, 2021 at 12:50 | review | Close votes | |||
| Oct 3, 2021 at 0:50 | |||||
| Sep 21, 2021 at 10:39 | comment | added | user108998 | I presume u can get a counterexample by taking a non trivial extension, $V$, of $\mathcal{O}$ by itself and taking the projective bundle $\mathbb{P}(V)$. The sub $\mathcal{O}$ gives you the section. | |
| S Sep 21, 2021 at 9:15 | review | First questions | |||
| Sep 21, 2021 at 9:19 | |||||
| S Sep 21, 2021 at 9:15 | history | asked | jkelim | CC BY-SA 4.0 |