Gröbner bases of simplicial toric ideals
Michael Hellus, Lê Tuân Hoa, and Jürgen Stückrad
Source: Nagoya Math. J. Volume 196 (2009), 67-85.
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.
Primary Subjects: 13P10, 14M25
Keywords: Gröbner bases; reduction number; Castelnuovo-Mumford regularity; Eisenbud-Goto's conjecture
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.nmj/1263564648
Nagoya Mathematical Journal
