A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties

Details A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties

2011-04-29

arxiv.org/abs/1104.5641v1

Mathematics

Algebraic Geometry

Scientific paper

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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