Poisson resolutions
| dc.creator | Fu, Baohua | |
| dc.date | 2004-03-24 | |
| dc.date | 2004-04-05 | |
| dc.date.accessioned | 2026-07-07T05:06:42Z | |
| dc.date.available | 2026-07-07T05:06:42Z | |
| dc.description | A resolution $Z \to X$ of a Poisson variety $X$ is called {\em Poisson} if every Poisson structure on $X$ lifts to a Poisson structure on $Z$. For symplectic varieties, we prove that Poisson resolutions coincide with symplectic resolutions. It is shown that for a Poisson surface $S$, the natural resolution $S^{[n]} \to S^{(n)}$ is a Poisson resolution. Furthermore, if $Bs|-K_S| = \emptyset$, we prove that this is the unique projective Poisson resolution for $S^{(n)}$. | |
| dc.description | some changes in section 5 | |
| dc.identifier | https://arxiv.org/abs/math/0403408 | |
| dc.identifier | http://arxiv.org/abs/math/0403408 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70572 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Poisson resolutions | |
| dc.type | text |