A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties

2011/04/29 by Jen-Chieh Hsiao, Hsiao, Jen-Chieh
Mathematics · #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG

paper · pdf · doi:10.48550/arxiv.1104.5641

arxiv created 2011/04/29 · arxiv updated 2011/05/02

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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