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On the S 2-Fication of Some Toric Varieties
Authors:Marcel Morales
Affiliation:1. University of Grenoble I, Fourier Institute, Saint-Martin D'Hères Cedex , France;2. IUFM de Lyon , Lyon Cedex, France morales@ujf-grenoble.fr
Abstract: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.

Keywords:Macaulayfication  Semigroup ring  Toric ideal
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