On the coordinate ring of a projective Poisson scheme
| dc.creator | Kaledin, D. | |
| dc.date | 2003-12-05 | |
| dc.date | 2005-04-27 | |
| dc.date.accessioned | 2026-07-07T05:03:37Z | |
| dc.date.available | 2026-07-07T05:03:37Z | |
| dc.description | The projective coordinate ring of a projective Poisson scheme $X$ does not usually admit a structure of a Poisson algebra. We show that when $H^1(X,O_X)=H^2(X,O_X)=0$, this can be corrected by embedding $X$ into a canonical one-parameter deformation. The scheme $X$ then becomes the Hamiltonian reduction of the spectrum of the deformed projective coordinate ring with respect to $G_m$. The projection into the base of the deformation is the moment map. | |
| dc.description | Final version, slightly expanded; to appear in MRL | |
| dc.identifier | https://arxiv.org/abs/math/0312134 | |
| dc.identifier | http://arxiv.org/abs/math/0312134 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69492 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the coordinate ring of a projective Poisson scheme | |
| dc.type | text |