Timeline for Local to global deformation of invertible sheaves
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 27, 2018 at 22:17 | vote | accept | user43198 | ||
| May 27, 2018 at 18:39 | comment | added | Piotr Achinger | @Sasha Thanks, the $X$ in the third sentence clearly should have been an $F$. | |
| May 27, 2018 at 18:39 | history | edited | Piotr Achinger | CC BY-SA 4.0 |
edited body
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| May 27, 2018 at 9:40 | comment | added | Sasha | @PiotrAchinger: Piotr, there are two seemingly different $X$ in your answer, and this is slightly confusing. | |
| May 26, 2018 at 21:25 | comment | added | Piotr Achinger | Only an etale neighborhood. For a counterexample, take a non-trivial Brauer-Severi variety $X\to S$ (an etale locally trivial fibration with fiber $\mathbf{P}^n$) with $S$ a variety, and $L_0$ to be $\mathcal{O}(1)$ on some fiber $X_s$. This $L_0$ cannot extend to any Zariski neighborhood of $s$. | |
| May 26, 2018 at 21:17 | comment | added | user43198 | Can we say that there exists an open neighbourhood $U$ of $s_0$ and an invertible sheaf on $X_U$ which restricts to $\mathcal{L}_0$? | |
| May 26, 2018 at 21:09 | history | answered | Piotr Achinger | CC BY-SA 4.0 |