Approximation of holomorphic maps with a lower bound on the rank
| dc.creator | Dejan, Kolarič | |
| dc.date | 2006-10-06 | |
| dc.date.accessioned | 2026-07-07T07:28:47Z | |
| dc.date.available | 2026-07-07T07:28:47Z | |
| dc.description | Let $K$ be a closed polydisc or ball in $\C^n$, and let $Y$ be a quasi projective algebraic manifold which is Zariski locally equivalent to $\C^p$, or a complement of an algebraic subvariety of codimension $\ge 2$ in such manifold. If $r$ is an integer satisfying $(n-r+1) (p-r+1)\geq 2$ then every holomorphic map from a neighborhood of $K$ to $Y$ with rank $\ge r$ at every point of $K$ can be approximated uniformly on $K$ by entire maps $\C^n\to Y$ with rank $\ge r$ at every point of $\C^n$. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610220 | |
| dc.identifier | http://arxiv.org/abs/math/0610220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117864 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | 32E30; 32H02; 32M17; 32Q28 | |
| dc.title | Approximation of holomorphic maps with a lower bound on the rank | |
| dc.type | text |