Timeline for Examples of small resolutions in dimension 4 and higher
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 9 at 17:49 | vote | accept | user45397 | ||
| May 8 at 19:42 | comment | added | user45397 | Thanks Sasha, for the examples! | |
| May 8 at 19:27 | comment | added | Sasha | Then the hypersurface $x_1x_2 - x_3x_4 = 0$ in $\mathbb{A}^5$ has a small resolution. | |
| May 8 at 19:10 | comment | added | user45397 | No, I do not mean isolated singularities. | |
| May 8 at 18:38 | comment | added | Sasha | If you mean hypersurfaces with isolated singularities, then no. Because any small resolution is the projective spectrum of a graded algebra associated with a reflexive sheaf of rank 1 which is not invertible, and hypersurfaces do not have such sheaves by Samuel's Conjecture (proved by Grothendieck). | |
| May 8 at 18:33 | comment | added | user45397 | Thank you|! Are there also examples of hypersurfaces in dimension 4 or higher that have a small resolution? | |
| May 8 at 17:53 | history | answered | Sasha | CC BY-SA 4.0 |