Nonrational, nonsimple convex polytopes in symplectic geometry
| dc.creator | Battaglia, Fiammetta | |
| dc.creator | Prato, Elisa | |
| dc.date | 2002-06-15 | |
| dc.date.accessioned | 2026-07-07T04:49:08Z | |
| dc.date.available | 2026-07-07T04:49:08Z | |
| dc.description | In this research announcement we associate to each convex polytope, possibly nonrational and nonsimple, a family of compact spaces that are stratified by quasifolds, i.e. the strata are locally modelled by $\R^k$ modulo the action of a discrete, possibly infinite, group. Each stratified space is endowed with a symplectic structure and a moment mapping having the property that its image gives the original polytope back. These spaces may be viewed as a natural generalization of symplectic toric varieties to the nonrational setting. We provide here the explicit construction of these spaces, and a thorough description of the stratification. | |
| dc.description | LaTeX, 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0206149 | |
| dc.identifier | http://arxiv.org/abs/math/0206149 | |
| dc.identifier | Electron. Res. Announc. Amer. Math. Soc., 8 (2002) 29-34. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64307 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53D05; 53D20; 32S60; 52B20 | |
| dc.title | Nonrational, nonsimple convex polytopes in symplectic geometry | |
| dc.type | text |