Binomial generation of the radical of a lattice ideal

2008/11/24 by Katsabekis, Anargyros, Morales, Marcel, Thoma, Apostolos · 1 citation
#13C40 #14M10 #14M25 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0811.3833

Abstract

Let I_{L, ρ} be a lattice ideal. We provide a necessary and sufficient criterion under which a set of binomials in I_{L, ρ} generate the radical of I_{L, ρ} up to radical. We apply our results to the problem of determining the minimal number of generators of I_{L, ρ} or of the rad(I_{L, ρ}) up to radical.

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• Toric intersections

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