English

Non-very ample configurations arising from contingency tables

Commutative Algebra 2019-01-11 v3 Statistics Theory Statistics Theory

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.

Keywords

Cite

@article{arxiv.0904.3681,
  title  = {Non-very ample configurations arising from contingency tables},
  author = {Hidefumi Ohsugi and Takayuki Hibi},
  journal= {arXiv preprint arXiv:0904.3681},
  year   = {2019}
}

Comments

6 pages, Title changed. References, Lemma etc. added

R2 v1 2026-06-21T12:54:27.280Z