Milnor numbers in deformations of homogeneous singularities
  Let f_0 be a plane curve singularity. We study the Minor numbers of singularities in deformations of f_0. We completely describe the set of these Milnor numbers for homogeneous singularities f_0 in the case of non-degenerate deformations and obtain some partial results on this set in the general case. 
Szymon Brzostowski, Tadeusz Krasinski, Justyna Walewska
math.AG