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Non-very ample configurations arising from contingency tables

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Abstract

In this paper, it is proved that, if a toric ideal possesses a fundamental binomial none of whose monomials is squarefree, then the corresponding semigroup ring is not very ample. Moreover, very ample semigroup rings of Lawrence type are discussed. As an application, we study very ampleness of configurations arising from contingency tables.

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Author information

Authors and Affiliations

  1. Department of Mathematics, College of Science, Rikkyo University, Tokyo, 171-8501, Japan

    Hidefumi Ohsugi

  2. Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka, 560-0043, Japan

    Takayuki Hibi

Authors
  1. Hidefumi Ohsugi
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  2. Takayuki Hibi
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Corresponding author

Correspondence to Hidefumi Ohsugi.

Additional information

This research was supported by JST, CREST.

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Ohsugi, H., Hibi, T. Non-very ample configurations arising from contingency tables. Ann Inst Stat Math 62, 639–644 (2010). https://doi.org/10.1007/s10463-010-0288-3

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  • DOI: https://doi.org/10.1007/s10463-010-0288-3

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