Gröbner bases of contraction ideals

Details Gröbner bases of contraction ideals Gröbner bases of contraction ideals

2010-10-27

arxiv.org/abs/1010.5768v2

Mathematics

Commutative Algebra

19 pages, typos corrected, and some minor revisions, Definition 3.10, Proposition 3.11, Example 4.4, and Example 3.23 added

Scientific paper

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.

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