Remarks on the collapsing of torus fibered Calabi-Yau manifolds
  One of the main results of the paper arXiv:1108.0967 by Gross-Tosatti-Zhang establishes estimates on the collapsing of Ricci-flat Kahler metrics on holomorphic torus fibrations. We remove a projectivity assumption from these estimates and simplify some of the underlying analysis. 
Hans-Joachim Hein, Valentino Tosatti
math.DG