Gröbner bases of simplicial toric ideals
arXiv:0910.0583
Abstract
Bounds for the maximum degree of a minimal Gröbner 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.
Revised version; To appear in Nagoya Math. J