Gradient Kähler Ricci Solitons
                  
Abstract:
  Some observations about the local and global generality of gradient Kähler Ricci solitons are made, including the existence of a canonically associated holomorphic volume form and vector field, the local generality of solutions with a prescribed holomorphic volume form and vector field, and the existence of Poincaré coordinates in the case that the Ricci curvature is positive and the vector field has a fixed point.

A related 39-page preprint is Gradient Kähler Ricci Solitons.