Holomorphic Gromov's partial order
  As in [5], we study holomorphic maps of positive degree between compact complex manifolds, and prove that any holomorphic map of degree one from a compact complex manifold to itself is biholomorphic. This conclusion confirms that under a mild restriction the holomorphic Gromov relation ">_" is indeed a partial order. 
Lingxu Meng
math.DG