Rational homotopy stability for the spaces of rational maps
| dc.creator | Lin, Jiayuan | |
| dc.date | 2002-11-07 | |
| dc.date.accessioned | 2026-07-07T04:52:46Z | |
| dc.date.available | 2026-07-07T04:52:46Z | |
| dc.description | Let $\Hol_{x_0}^{\bf n} (\C¶^1, X)$ be the space of based holomorphic maps of degree ${\bf n}$ from $\C¶^1$ into a simply connected algebraic variety $X$. Under some condition we prove that the map $\map \Hol_{x_0}^{\bf n} (\C¶^1, X). \Hol_{x_0}^{d{\bf n}} (\C¶^1, X).$ obtained by compositing $f \in \Hol_{x_0}^{\bf n} (\C¶^1, X)$ with $g(z)=z^d, z \in \C¶^1$ induces rational homotopy equivalence up to some dimension, which tends to infinity as the degree grows. | |
| dc.identifier | https://arxiv.org/abs/math/0211137 | |
| dc.identifier | http://arxiv.org/abs/math/0211137 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65591 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 14E05, 14F45, 55P62 | |
| dc.title | Rational homotopy stability for the spaces of rational maps | |
| dc.type | text |