Timeline for Does the sheaf $\mathcal{O}^*$ on a complex manifold have an acyclic cover?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 18, 2020 at 18:53 | history | edited | Georges Elencwajg | CC BY-SA 4.0 |
added 74 characters in body
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| Jul 18, 2020 at 18:34 | history | edited | Georges Elencwajg | CC BY-SA 4.0 |
Distinguished the algebraic from the holomorphic case, which I had mixed up in the previous version.
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| Jul 18, 2020 at 18:28 | comment | added | Georges Elencwajg | Dear @abx, you are completely right, of course: thank you for your attention. I had shamefully mixed up the holomorphic and algebraic case, which resulted in the absurd answer I posted. I have corrected this mess, and I hope that everything is OK now. | |
| Jul 18, 2020 at 17:14 | comment | added | abx | All these open subsets $U$ have $H^2(U,\mathbb{Z})=0$ and $H^1(U,\mathscr{O}_U)=0$ because they are Stein as you observe, therefore $\operatorname{Pic}(U)=0 $. | |
| Jul 18, 2020 at 15:24 | history | answered | Georges Elencwajg | CC BY-SA 4.0 |