Hodge Spaces for Real Toric Varieties
| dc.creator | Hower, Valerie | |
| dc.date | 2007-05-03 | |
| dc.date.accessioned | 2026-07-07T07:59:20Z | |
| dc.date.available | 2026-07-07T07:59:20Z | |
| dc.description | We define the Z/2Z Hodge spaces H_{pq}(Σ) of a fan Σ. If Σis the normal fan of a reflexive polytope Δthen we use polyhedral duality to compute the Z/2Z Hodge Spaces of Σ. In particular, if the cones of dimension at most e in the face fan Σ^* of Δare smooth then we compute H_{pq}(Σ) for p<e-1. If Σ^* is a smooth fan then we completely determine the spaces H_{pq}(Σ) and we show the toric variety X associated to Σis maximal, meaning that the sum of the Z/2Z Betti numbers of X(R) is equal to the sum of the Z/2Z Betti numbers of X(C). | |
| dc.description | 22 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0705.0516 | |
| dc.identifier | http://arxiv.org/abs/0705.0516 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128328 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | Primary 14M25; Secondary 55T99, 52B12 | |
| dc.title | Hodge Spaces for Real Toric Varieties | |
| dc.type | text |