Symplectic singularities from the Poisson point of view
| dc.creator | Kaledin, D. | |
| dc.date | 2003-10-13 | |
| dc.date | 2006-03-09 | |
| dc.date.accessioned | 2026-07-07T06:35:45Z | |
| dc.date.available | 2026-07-07T06:35:45Z | |
| dc.description | We consider symplectic singularities in the sense of A. Beauville as examples of Poisson schemes. Using Poisson methods, we prove that a symplectic singularity admits a finite stratification with smooth symplectic strata. We also prove that in the formal neighborhood of a closed point in some stratum, the singularity is a product of the stratum and a transversal slice. The transversal slice is also a symplectic singularity, and the product decomposition is compatible with natural Poisson structures. Moreover, we prove that the transversal slice admits a $C^*$-action dilating the symplectic form. | |
| dc.description | Version 4, really final, to appear in Crelle. Corrected Corollary 2.8 (it was too strong) | |
| dc.identifier | https://arxiv.org/abs/math/0310186 | |
| dc.identifier | http://arxiv.org/abs/math/0310186 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99888 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Symplectic singularities from the Poisson point of view | |
| dc.type | text |