A Counterexample for Subadditivity of Multiplier Ideals on Toric   Varieties
  We construct a 3-dimensional complete intersection toric variety on which the subadditivity formula doesn't hold, answering negatively a question by Takagi and Watanabe. A combinatorial proof of the subadditivity formula on 2-dimensional normal toric varieties is also provided. 
Jen-Chieh Hsiao
math.AG math.AC