Gröbner bases of simplicial toric ideals

2007/10/29 by M. Hellus, Hellus, M., J. Stueckrad +3
Mathematics · #13F20 #13P10 #14M25 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13F20 #msc:13P10 #msc:14M25

paper · pdf · doi:10.48550/arxiv.0710.5347

arxiv created 2007/10/29 · arxiv updated 2009/12/01

Abstract

Bounds for the maximal degree of certain Gröbner bases of simplicial toric ideals are given. These bounds are close to the bound stated in Eisenbud-Goto's Conjecture on the Castelnuovo-Mumford regularity.

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