A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties

preprint2011arXivOpen access

Abstract

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.

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