Uniqueness theorems and uniqueness polynomials for holomorphic curves

摘要

We give some uniqueness theorems for nonconstant holomorphic curves and establish the existence of a class of strong uniqueness polynomials for algebraically nondegenerate holomorphic curves. We show that if X is a hypersurface defined by a polynomial in this class, then X is a unique range set for algebraically nondegenerate holomorphic curves.