Timeline for Extension of stable vector bundles on curves
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 7, 2021 at 22:51 | vote | accept | CommunityBot | ||
| Feb 7, 2021 at 20:32 | answer | added | Will Sawin | timeline score: 2 | |
| Feb 5, 2021 at 9:40 | comment | added | Sasha | If $X$ is a hyperelliptic curve of genus 5 then $\omega_X$ is the pullback of $\mathcal{O}_{\mathbb{P}^1}(4)$, so pulling back and twisting the sequence on $\mathbb{P}^1$, you can obtain a similar sequence on $X$. | |
| Feb 5, 2021 at 9:22 | comment | added | user39380 | @Sasha Thanks! Do we have such an example for $E’=O_X$, $E’’=\omega_X$ on a curve of genus >2? | |
| Feb 5, 2021 at 9:19 | comment | added | Sasha | For the first question the answer is definitely negative --- think of the exact sequence $0 \to \mathcal{O}(-2) \to \mathcal{O}(-1) \oplus \mathcal{O}(1) \to \mathcal{O}(2) \to 0$ on $\mathbb{P}^1$. | |
| Feb 5, 2021 at 9:01 | history | asked | user39380 | CC BY-SA 4.0 |