Non-very ample configurations arising from contingency tables

Details Non-very ample configurations arising from contingency tables Non-very ample configurations arising from contingency tables

2009-04-23

arxiv.org/abs/0904.3681v3

Annals of the Institute of Statistical Mathematics 62 (2010), 639-644

Mathematics

Commutative Algebra

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

Scientific paper

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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