Extremal metrics on blowups along submanifolds
  We give conditions under which the blowup of an extremal K\"ahler manifold along a submanifold of codimension greater than two admits an extremal metric. This generalizes work of Arezzo-Pacard-Singer, who considered blowups in points. 
Reza Seyyedali, G\'abor Sz\'ekelyhidi
math.DG