On 6-semigroups generated by 4 elements from which affine toric varieties can be constructed

This paper is devoted to constructing an affine toric variety from a 6-semigroup generated by 4 elemetns such that the monomial curve associated with the 6-semigroup is a specialization of the toric variety. A 6-semigroup means a numerical semigroup starting with 6. We know that if we can construct such an affine toric variety from a given numerical semigroup, then the numerical semigroup is Weierstrass1). For that reason we try to construct an affine toric variety from a 6-semigroup generated by 4 elements which is not known to be Weierstrass.