Timeline for A Fourier-Mukai kernel locally given by a graph of a birational map and compatibility with extension
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 26, 2023 at 8:05 | vote | accept | P. Usada | ||
| May 26, 2023 at 8:03 | comment | added | Sasha | Let $X = Y$ be a K3 surface and let $C \subset X$ be a smooth rational curve. Then $\mathcal{O}_C$ is a spherical object and the corresponding spherical twist is an autoequivalence of the derived category of $X$, that restricts to the identity over $U = X \setminus C$. | |
| May 26, 2023 at 6:56 | comment | added | P. Usada | Thank you very much for your answer. Would you know any counter example of the particular case, that is, when a birational map extend to an isomorphism by any chance? | |
| May 26, 2023 at 4:17 | history | answered | Sasha | CC BY-SA 4.0 |