Local-global intersection homology
| dc.creator | Fine, Jonathan | |
| dc.date | 1997-09-10 | |
| dc.date | 1997-09-11 | |
| dc.date.accessioned | 2026-07-07T09:01:55Z | |
| dc.date.available | 2026-07-07T09:01:55Z | |
| dc.description | This paper defines new intersection homology groups. The basic idea is this. Ordinary homology is locally trivial. Intersection homology is not. It may have significant local cycles. A local-global cycle is defined to be a family of such local cycles that is, at the same time, a global cycle. The motivating problem is the numerical characterisation of the flag vectors of convex polytopes. Central is a study of the cycles on a cone and a cylinder, in terms of those on the base. This leads to the topological definition of local-global intersection homology, and a formula for the expected Betti numbers of toric varieties. Various related questions are also discussed. | |
| dc.description | LaTeX 2e. 28 pages. This paper defines new intersection homology groups, that provide important new information | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9709011 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9709011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148446 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Local-global intersection homology | |
| dc.type | text |