Gröbner bases of contraction ideals
arXiv:1010.5768
Abstract
We investigate Gröbner bases of contraction ideals under some monomial homomorphisms. As an application of our theorem, we generalize the result of Aoki--Hibi--Ohsugi--Takemura and Hibi-Ohsugi. Using our results, one can provide many examples of toric ideals that admit square-free or quadratic initial ideals.
arXiv comment19 pages, typos corrected, and some minor revisions, Definition 3.10, Proposition 3.11, Example 4.4, and Example 3.23 added