The topology of the space of rational curves on a toric variety
| dc.creator | Guest, Martin A. | |
| dc.date | 1993-01-24 | |
| dc.date | 1994-08-24 | |
| dc.date.accessioned | 2026-07-07T08:57:40Z | |
| dc.date.available | 2026-07-07T08:57:40Z | |
| dc.description | Let $X$ be a compact toric variety. Let $Hol$ denote the space of based holomorphic maps from $CP^1$ to $X$ which lie in a fixed homotopy class. Let $Map$ denote the corresponding space of continuous maps. We show that $Hol$ has the same homotopy groups as $Map$ up to some (computable) dimension. The proof uses a description of $Hol$ as a space of configurations of labelled points, where the labels lie in a partial monoid determined by the fan of $X$. | |
| dc.description | 25 pages, AMS-TeX 2.1 (substantially revised and updated) | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9301005 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9301005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147057 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The topology of the space of rational curves on a toric variety | |
| dc.type | text |