Blowing up generalized Kahler 4-manifolds
  We show that the blow-up of a generalized Kahler 4-manifold in a nondegenerate complex point admits a generalized Kahler metric. As with the blow-up of complex surfaces, this metric may be chosen to coincide with the original outside a tubular neighbourhood of the exceptional divisor. To accomplish this, we develop a blow-up operation for bi-Hermitian manifolds. 
Gil R. Cavalcanti, Marco Gualtieri
math.DG math.AG