On the S-2-fication of some toric varieties

摘要

In this article we prove the following: 1. Some results on the Cohen-Macaulayness of the canonical module; 2. We study the S-2-fication of rings which are quotients by lattices ideals; 3. Given a simplicial lattice ideal of codimension two I, its Macaulayfication is given explicitly from a system of generators of I.