The paper under review concerns holomorphic curves in Abelian varieties, especially, the author's study of the higher-codimensional case. Namely, he proves that for algebraically nondegenerate holomorphic curves \(f\) from \(\mathbb{C}\) into an Abelian variety \(A\) and a subvariety \(Z\) of \(A\) with codimension not less than two the counting function of \(f\) with respect to \(Z\) is very small in the sense of Nevanlinna theory. As an application, the following second main theorem is obtained: \(T(r,f,D)\leq N_1(r,f^* D)+ \|\varepsilon T(r,f,L)\|\) for \(\varepsilon> 0\) and for an effective reduced divisor \(D\), where \(L\) is an ample line bundle over \(A\). Moreover, he proves a unicity theorem for holomorphic curves in \(A\).