On the number of exceptional points of holomorphic curves and the defect relation for holomorphic curves

Abstract

Let Xⁿ(2) be a subset of C^{n + 1} $\backslash$ {0} any two elements of which are not propotional. We estimate the number of exceptional points in Xⁿ(2) for several holomorphic curves and we consider the defect relation for holomorphic curves. We shall give an example for which the defect relation is extremal and then give some holomorphic curves for which the defect relation is not extremal over Xⁿ(2). Another defect relation is also considered.