Some remarks on the symplectic and Kaehler geometry of toric varieties
  Let $M$ be a projective toric manifold. We prove two results concerning respectively Kaehler-Einstein submanifolds of M and symplectic embeddings of the standard euclidean ball in M. Both results use the well-known fact that M contains an open dense subset biholomorphic to C^n. 
Claudio Arezzo, Andrea Loi, Fabio Zuddas
math.DG