Complete Kähler manifolds with nonnegative Ricci curvature II

We study rigidity on certain Kähler manifolds with nonnegative Ricci curvature. Among others things, we show that a complete noncompact Kähler surface with nonnegative Ricci curvature, Euclidean volume growth and quadratic curvature decay is biholomorphic to resolution of an affine algebraic variety.