Upper bounds for dimensions of singularity categories
  This paper gives upper bounds for the dimension of the singularity category of a Cohen-Macaulay local ring with an isolated singularity. One of them recovers an upper bound given by Ballard, Favero and Katzarkov in the case of a hypersurface. 
Hailong Dao, Ryo Takahashi
math.AC math.AG math.CT math.RT