Small u_kappa and large 2^kappa for supercompact kappa
  In a recent preprint, Garti and Shelah state that the techniques of a paper of Dzamonja and Shelah can be used to force u_kappa to be kappa^+ for supercompact kappa with 2^kappa arbitrarily large. In this expository article we spell out the details of how this can be done. 
Andrew D. Brooke-Taylor
math.LO