Gröbner bases of simplicial toric ideals

Mathematics – Commutative Algebra

Scientific paper

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Revised version; To appear in Nagoya Math. J

Scientific paper

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.

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