Approximation of holomorphic maps with a lower bound on the rank

Details Approximation of holomorphic maps with a lower bound on the rank Approximation of holomorphic maps with a lower bound on the rank

2006-10-06

arxiv.org/abs/math/0610220v1

Mathematics

Complex Variables

13 pages

Scientific paper

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 $\C^n$.

Affiliated with

Also associated with

No associations

Rating

Approximation of holomorphic maps with a lower bound on the rank does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Approximation of holomorphic maps with a lower bound on the rank, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Approximation of holomorphic maps with a lower bound on the rank will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634458