Degeneracy of Holomorphic Curves into Algebraic Varieties
  Applying the Second Main Theorem we deal with the algebraic degeneracy of entire holomorphic curves from the complex plane into a complex algebraic normal variety of positive log Kodaira dimension that admits a finite proper morphism to a semi-abelian variety. We will also discuss applications to the Kobayashi hyperbolicity problem. 
Junjiro Noguchi, J\"org Winkelmann and Katsutoshi Yamanoi