Gr\"obner bases of contraction ideals
Commutative Algebra
2010-11-05 v2
Abstract
We investigate Gr\"obner 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.
Cite
@article{arxiv.1010.5768,
title = {Gr\"obner bases of contraction ideals},
author = {Takafumi Shibuta},
journal= {arXiv preprint arXiv:1010.5768},
year = {2010}
}
Comments
19 pages, typos corrected, and some minor revisions, Definition 3.10, Proposition 3.11, Example 4.4, and Example 3.23 added