A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties

Jen Chieh Hsiao

doi:10.1080/00927872.2011.552084

A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties

Jen Chieh Hsiao

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1618-1624
Number of pages	7
Journal	Communications in Algebra
Volume	40
Issue number	5
DOIs	https://doi.org/10.1080/00927872.2011.552084
Publication status	Published - 2012 May

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/00927872.2011.552084

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title = "A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties",

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.",

author = "Hsiao, {Jen Chieh}",

note = "Funding Information: The author was partially supported by NSF under grant DMS 0555319 and DMS 0901123. The author would like to thank his advisor, Uli Walther, for his encouragement during the preparation of this work. He is also grateful to the refree for the careful reading and useful suggestions.",

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A Counterexample for Subadditivity of Multiplier Ideals on Toric Varieties

Abstract

All Science Journal Classification (ASJC) codes

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