Timeline for Biholomorphic but not isomorphic complex affine surfaces?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 23, 2022 at 23:14 | vote | accept | aglearner | ||
| Oct 15, 2022 at 11:34 | comment | added | Jason Starr | Yes, that is correct. Alternatively, since $C$ is Stein, all topologically trivial holomorphic principal bundles are holomorphically trivial by Grauert-Oka. | |
| Oct 15, 2022 at 9:11 | comment | added | aglearner | Thanks a lot for this answer Jason! Do I understand correctly that $L$ and $\mathbb A^1\times C$ are biholomorphic because the line bundle $L$ has a nowhere vanishing, albeit non-algebraic section? Also, I wonder, what would be your guess concerning the case when $X$ and $Y$ are both rational surfaces? Should one expect to be able to find a counter-example in this case as well? | |
| S Oct 14, 2022 at 23:40 | history | answered | Jason Starr | CC BY-SA 4.0 | |
| S Oct 14, 2022 at 23:40 | history | made wiki | Post Made Community Wiki by Jason Starr |