Gr\"obner bases of simplicial toric ideals
Commutative Algebra
2009-10-06 v1
Abstract
Bounds for the maximum degree of a minimal Gr\"obner basis of simplicial toric ideals with respect to the reverse lexicographic order are given. These bounds are close to the bound stated in Eisenbud-Goto's Conjecture on the Castelnuovo-Mumford regularity.
Keywords
Cite
@article{arxiv.0910.0583,
title = {Gr\"obner bases of simplicial toric ideals},
author = {M. Hellus and J. Stueckrad and L. T. Hoa},
journal= {arXiv preprint arXiv:0910.0583},
year = {2009}
}
Comments
Revised version; To appear in Nagoya Math. J