Singular

D.15.4 cimonom_lib

Library:

cimonom.lib

Purpose:

Determines if the toric ideal of an affine monomial curve is a complete intersection

Authors:

I.Bermejo, ibermejo@ull.es
I.Garcia-Marco, iggarcia@ull.es
J.-J.Salazar-Gonzalez, jjsalaza@ull.es

Overview:

A library for determining if the toric ideal of an affine monomial curve is a complete intersection with NO NEED of computing explicitly a system of generators of such ideal. It also contains procedures to obtain the minimum positive multiple of an integer which is in a semigroup of positive integers. The procedures are based on a paper by Isabel Bermejo, Ignacio Garcia and Juan Jose Salazar-Gonzalez: 'An algorithm to check whether the toric ideal of an affine monomial curve is a complete intersection', Preprint.

Procedures:

D.15.4.1 BelongSemig		checks whether n is in the semigroup generated by v;
D.15.4.2 MinMult		computes k, the minimum positive integer such that k*a is in the semigroup of positive integers generated by the elements in b.
D.15.4.3 CompInt		checks wether I(d) is a complete intersection or not.