1,970 research outputs found
Computing the degree of a lattice ideal of dimension one
We show that the degree of a graded lattice ideal of dimension 1 is the order
of the torsion subgroup of the quotient group of the lattice. This gives an
efficient method to compute the degree of this type of lattice ideals.Comment: J. Symbolic Comput., to appea
Complete intersections in binomial and lattice ideals
For the family of graded lattice ideals of dimension 1, we establish a
complete intersection criterion in algebraic and geometric terms. In positive
characteristic, it is shown that all ideals of this family are binomial set
theoretic complete intersections. In characteristic zero, we show that an
arbitrary lattice ideal which is a binomial set theoretic complete intersection
is a complete intersection.Comment: Internat. J. Algebra Comput., to appea
Binomial vanishing ideals
In this paper we characterize, in algebraic and geometric terms, when a
graded vanishing ideal is generated by binomials over any field K
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