Holomorphic curves with deficiencies

In this talk, we discuss holomorphic curves with deficiencies in a complex projective space ${\mathbf P}^n({\mathbf C})$. We first give some methods of making holomorphic curves with deficient hypersurfaces, We show that for a given hypersurface $D$ in ${\mathbf P}^n({\mathbf C)}$, there is a holomorphic curve $f:{\mathbf C}\to {\mathbf P}^n({\mathbf C})$ with $\delta_f(D)>0$.
Next we investigate some properties of holomorphic curves with deficient divisors. In particular, we consider how the existence of deficient divisors affects the uniqueness problem of holomorphic curves.