English

A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties

Algebraic Geometry 2011-05-02 v1 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.1104.5641,
  title  = {A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties},
  author = {Jen-Chieh Hsiao},
  journal= {arXiv preprint arXiv:1104.5641},
  year   = {2011}
}