A remark on spaces of holomorphic maps to taut manifolds

Abstract

We generalize the qualitative part of the Blaschke condition to holomorphic mappings to a given taut manifold. Namely, we prove that given two taut complex manifolds X and Y there exists a discrete subset \( S\subset X \) such that the natural restriction map induces a homeomorphism between Hol (X,Y ) and a closed subset of Map (S,Y ).