Timeline for Biholomorphic but not isomorphic complex affine surfaces?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 14, 2022 at 17:45 | comment | added | Kapil | The example for $g=1$ is also explained in an older MO answer in a different and perhaps easier way. | |
| Oct 14, 2022 at 17:35 | history | edited | Kapil | CC BY-SA 4.0 |
Note that the answer is not complete for the original question.
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| Oct 14, 2022 at 17:31 | comment | added | Kapil | I missed the point about the need for the variety $Y$ to be affine! | |
| Oct 14, 2022 at 17:28 | comment | added | Sam Gunningham | @aglearner I believe $Y$ is not affine (giving an example of a non-affine algebraic stein manifold). See e.g. Remark 7.6 in this paper of Neeman jstor.org/stable/2007052 | |
| Oct 14, 2022 at 14:43 | comment | added | aglearner | Dear Kapil, thank you for writing up details for this nice example! Note though that in my question both $X$ and $Y$ are affine surfaces. Certainly $\mathbb C^*\times \mathbb C^*$ is affine. But how do you prove that the algebraic moduli space of flat connections on a line bundle over $E$ is an affine surface? I.e why your $Y$ is affine? | |
| Oct 14, 2022 at 14:12 | history | answered | Kapil | CC BY-SA 4.0 |