2006/10/06 by Dejan Kolarič, Kolarič Dejan, Dejan, Kolarič
Mathematics · #32E30 #32H02 #32M17 #32Q28 #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV #math.DG #msc:32E30 #msc:32H02 #msc:32M17 #msc:32Q28
paper · pdf · doi:10.48550/arxiv.math/0610220
13 pages
arxiv created 2006/10/06 · openalex publication_date 2006/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let K be a closed polydisc or ball in \Cn, and let Y be a quasi projective algebraic manifold which is Zariski locally equivalent to \Cp, or a complement of an algebraic subvariety of codimension ≥ 2 in such manifold. If r is an integer satisfying (n-r+1) (p-r+1)≥ 2 then every holomorphic map from a neighborhood of K to Y with rank ≥ r at every point of K can be approximated uniformly on K by entire maps \Cn→ Y with rank ≥ r at every point of \Cn.