Abschätzungen für die Anzahl der holomorphen Abbildungen zwischen algebraischen Räumen. (Estimates for the number of holomorphic mappings between algebraic varieties)
Let X be ''algebraic'' in the following sense: X is a projective algebraic variety minus a subvariety. An upper bound is given for the number of nonconstant holomorphic functions which omit q distinct values \(\{b_ 1=0\), \(b_ 2=1\), \(b_ 3,...,b_ q\}\). A number of results are given which bound the number of mappings from X to an algebraic Y. For instance, if there is a finite holomorphic mapping from Y to a finite product of copies of \({\mathbb{C}}\setminus \{0,1\},\) then there are only finitely many nondegenerate mappings \(f: X\to Y\).
scientific article; zbMATH DE number 3955405